Mathematics High School

Solve: x²+5x-6 = 0
Answer please​

Answers

Answer 1

Given that:

x² + 5x - 6 = 0

Here we see that,

→ Product of coefficient of x² and constant term = 1 × 6 = 6

→Difference of the constant term and the coefficient of x² = 6 - 1 = 5

Now the given equation can be written as,

⇛x² + 6x - 1x - 6 = 0

(Here we simply applied the correc sign and splitted the middle term in two terms)

Now let's take the common terms

⇛x(x + 6) - 1(x + 6) = 0

On grouping we get,

⇛(x - 1)(x + 6) = 0

Here either (x - 1) = 0 or (x + 6) = 0 since the product is zero so anyóne of the terms should be zero.

⇛(x - 1) = 0 or (x + 6) = 0

⇛x - 1 = 0 or x + 6 = 0

⇛x = 1 or x = -6

Here we got two solutions of the equations. This means thet are in correct form.

Answer: The value of X is 1 or -6.

also read similar questions: Solve the following equations. X^2 + 5x + 6 = 0 (Factorise) X^2 + 7x + 11 = 0 (Use the quadratic formula)..

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solve the equation x^2+5x+6=0

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Related Questions

Ann and Betty shared a sum of money in the ratio 2:3 respectively. Ann Received $120. What was Betty’s share?

Answers

Answer:

A:B::2:3

123:x

set up as fractions:

[tex]\frac{2}{3}[/tex]   [tex]\frac{120}{x}[/tex]   120*3=360

360/2=180

Betty Received $180

These marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two blue marbles if the first one is placed back in

Answers

Answer:

2/9

Step-by-step explanation:

4 5/6 x 3/10
simplify the answer completely and change it to a mix number

Answers

Step-by-step explanation:

4+5/6*3/10

29/6*3/10

=87/60

=29/20

=1 9/20

We have :   [tex]4\frac{5}{6}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{29}{6}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{29}{20}[/tex] = [tex]1\frac{9}{20}[/tex]

ANSWER:   [tex]1\frac{9}{20}[/tex]

Ok done. Thank to me :>

A class is putting ornaments on a Christmas tree.
One box of 30 ornaments cost $6.99. How
much does one ornament cost? (round to the
nearest cent)

Answers

Answer:

each ornament was about 5 cents

Step-by-step explanation:

Hope this helps

May I get Braineist pls

Which number sentence is not true?

101 < 100
101 = 0
|-100[< 101
1-100] > [0]

Answers

The first one & the second one

Answer:

Both first and second one are not true.

Step-by-step explanation:

The first one translates to "101 is less than 100". This statement is false.

Second one translates to " 101 is equal to 0". Obviously, this isn't true.

Hope this helps! Brainliest would be appreciated!!

Can i get some help :

Answers

The store owner is adding cost, so we will use addition. The answers should be as follows:

[] c + $3.49 = $9.84

[] c = $6.35 <- subtract $3.49 from both sides of the equation

[] Solution of answer represents the old cost of the toy.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

if sarah works 40 hours a week and earns 660 dollars per payroll. how much does she make an hour

Answers

Answer:16.50

Step-by-step explanation: hope it helps

Answer:

16.50

Step-by-step explanation:

Please help me with this math problem!! NO LINKS PLEASE!! :)

Answers

Answer:

105°.

Step-by-step explanation:

1) to calculate m(∠ABC): m(∠ABC)=180-m(∠BAC)-m(∠(ACB)=180-90-65=25°;

2) note, m(∠ABC)=m∠(ABD)=25°, then it is possible

3) to calculate m(∠BAD): m(∠BAD)=180-m(∠ABD)-m(∠ADB)=180-25-50=105°.

Matthew spent 2/3 of his birthday on books and 1/4 of his birthday money on snacks. He says he spent 3/7 of his birthday money.

Which statement is most accurate?


*Disclaimer* show work

Answers

Answer:

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{4}[/tex] = [tex]\frac{8+3}{12}[/tex] = [tex]\frac{11}{12}[/tex] ≈ 1

The correct answer is the last one (C)

Help, please!

fdlksjflksdjklfjalk

Answers

Answer:

m/_a = 8 , m/_b= 3, m/_c = 4

Can someone help me please

Answers

Answer:i dont know 1

2. variable

3. terms

Step-by-step explanation:

Plsssss help me this needs to be done ASAPPP

Answers

Answer:

6 and 3

Step-by-step explanation:

Mutiply and will get your aswer correct

What is the name of this?

Answers

Answer:

Circumference of a circle

2* pi* radius which is the circumference of the circle

Will give brainly,5 stars,and thank if it CORRECT

Answers

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

What is the volume of the prism?
cubic units

Answers

You my 5+5 bc ~+34=7
21 because 7x3 is 21

How can you find approximations of square roots?​

Answers

Step-by-step explanation:The second way of approximating a square root is to use a calculator. Most calculators have a radical sign on them. To find the square root of a number, we enter the radical sign, then the value and press enter. This will give us a decimal approximation of the square root.

(2w2+4w)÷(w–2) divide

Answers

THIS IS THE ANSWER ::

the answer is 4

8. If APTS – APQR, find the value of x.
5x + 13
T
36
Q
P
30
6x-2
-
S
R

Answers

Answer:

x = 7

Step-by-step explanation:

you can create a proportion:

PT / ST =  PQ / RQ

36 / 30 = (5x+13) / (6x-2)

cross-multiply:

36(6x-2) = 30(5x+13)

distribute:

216x - 72 = 150x + 390

216x = 150x + 462

66x = 462

x = 7

The value of x for the given triangle sides is x = 7.

What is geometry?

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.

Given that the side PQ = 5x + 13 and the QR is 6x- 2. The value of x will be calculated by the concept of similarity.

PT / ST =  PQ / RQ

36 / 30 = (5x+13) / (6x-2)

Cross-multiply the equations,

36(6x-2) = 30(5x+13)

Distribute:

216x - 72 = 150x + 390

216x = 150x + 462

66x = 462

x = 7

To know more about geometry follow

https://brainly.com/question/28832881

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I need help on this question
3n + 2 = 17

Answers

Answer:

The value of n is 5.

Step-by-step explanation:

Concept :

Here, we will use the below following steps to find a solution using the transposition method:

Step 1 :- we will Identify the variables and constants in the given simple equation.Step 2 :- then we Simplify the equation in LHS and RHS.Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.Step 5 :- Then the result will be the solution for the given linear equation.

Solution :

By using the transposition method. we get,

[tex]{\dashrightarrow{\tt{3n + 2 = 17}}}[/tex]

[tex]{\dashrightarrow{\tt{3n= 17 - 2}}}[/tex]

[tex]{\dashrightarrow{\tt{3n= 15}}}[/tex]

[tex]{\dashrightarrow{\tt{n= 15 \div 3}}}[/tex]

[tex]{\dashrightarrow{\tt{n= \dfrac{15}{3}}}}[/tex]

[tex]{\dashrightarrow{\tt{n= \cancel{\dfrac{15}{3}}}}}[/tex]

[tex]{\dashrightarrow{\underline{\boxed{\tt{\red{n= 5}}}}}}[/tex]

Hence, the value of n is 5.

[tex]\rule{300}{1.5}[/tex]

Question:-

Solve : 3n + 2 = 17

Answer:-

n = 5

Explanation:-

=> 3n + 2 = 17

=> 3n = 17-2

=> 3n = 15

=> n = 15/3

=> n = 5

solve y=f(x) for x. Then find the input when the output is -3. f(x)=3x^3


x=___



The input is____when the output is-3​

Answers

[tex]f(x) =-3\\\\\implies 3x^3= -3\\\\\implies x^3 = -1\\\\\implies x = \sqrt[3]{-1} ~~\text{or}~~ x= \sqrt[3]{-1} \left(\dfrac{-1 \pm i\sqrt 3}2\right)\\[/tex]

[tex]\text{For x} \in \mathbb{R}, ~\text{the answer is x} = \sqrt[3]{-1} = -1[/tex]


A. (4,1)
B.(-2,8)
C.(8,-2)
D.(-1,4)

Answers

Answer:

i think B is answer

Step-by-step explanation:

0.5x+9 = -3x+2

x = -2

y = -3x+2

y = -3(-2) +2

y = 6+2

y = 8

(x,y) = (-2,8)

B is the answer for sure fo sure

original price: $2.00
discount: 31%
tax: 3%​

Answers

Answer:

is this a questions or no?

Step-by-step explanation:

i have a very hard question,

what is 1+2

please help asap

Answers

Answer:

The answer is 3.

Step-by-step explanation:

20 Points Please Help

Answers

1. Is is geometric
Because of the sequence of multiplying by 3. There is a common ratio between each number.

2.multiplying the previous number each by 3
(For show work, multiply the number by 3 to get the next number)

A set of 3 consecutive integers has a sum of 15. Which integers are they?

Answers

The answer is 4+5+6=15.Hope that helps. :)

Answer:

Step-by-step explanation:

Let the first number be x,

The second number (since it is consecutive) will be = x + 1

The third number (since it is right after the second) = (x+1) + 1 = x + 2

x + x + 1 + x + 2 = 15

3x + 3 = 15

3x = 15 - 3

3x = 12

x = 12/3 = 4

If the first number = 4,

Second number will be = 5 [(x+1) = 4+1]

Third number will be = 6 [(x+2) = 4 + 2]

If the radius of a circle is ‘r’ units, which of the following is its circumference? *​

Answers

Answer:

2πr

Explanation:

The area of the unit circle is π (in general πr2 where r is the radius).

Which table matches the equation y= 8x + 20

Answers

Answer:

The first table

Step-by-step explanation:

x         y

7         76

10      100

13       124

16      148

HOPE THIS HELPS :)

The answer is 20 I had this question

These are the coordinates of a
quadrilateral. Determine whether it is
also a trapezoid, parallelogram, or
neither.
J(5,5), K(8,6), L(9,9), M(6,8)
A. trapezoid
B. parallelogram
C. neither

Answers

Answer:

parallelogram is the answer

Answer:

Step-by-step explanation:

The quadrilateral is a parallelogram ( more precisely is the rhombus )

if f(x) = 2x^2 +1 and g(x) = 3x-2 what is the value of f(g(x))

Answers

Answer:

18x² - 24x + 9

Step-by-step explanation:

To find f(g(x)), substitute x = g(x) into f(x) , that is

f3x - 2)

= 2(3x - 2)²+ 1 ← expand factor using FOIL

= 2(9x² - 12x + 4) + 1 ← distribute parenthesis by 2

= 18x² - 24x + 8 + 1

= 18x² - 24x + 9

yesterday, john had $15. In 7 days, He would have 23.

Answers

Answer:

He earn approximately $2.14 everyday

Step-by-step explanation:

hope this helps :3

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