All categories

3 years ago

Find the term that must be added to the equation x2−6x=7 to make it into a perfect square.

Mathematics

1 answer:

Gekata [30.6K]3 years ago

5 0

x²-6x =7

First we have get rid of that 7 from the right side and move it to the left side. To move 7 to the left side, we have to subtract 7 from both sides.

x²-6x-7= 7-7

x²-6x-7 = 0

To make this equation a perfect square, first we have to check the x term. Here -6x given. We have to divide the co-efficient of x by 2, and then we have to add the square of it.

The co-efficient of x is -6 here. Dividing it by 2, we will get -6/2 = -3.

We will have to add (-3)² here. (-3)² is 9. So in the place of -7, we have to make 9, to make the equation a perfect square.

9-(-7) = 9+7 = 16

So by adding 16 to the left side, we can make the equation a perfect square.

x²-6x-7+16 =0

x²-6x+9 =0

x²-6x+(-3)² =0

(x-3)² =0

You might be interested in

4x-8=12 when x=-2 verify the solution of the equation and explain.

mojhsa [17]

Answer:

Solve in terms of the arbitrary variable x . x = 5 5 = − 2

Step-by-step explanation:

7 0

3 years ago

Question 4 Multiple Choice Worth 1 points) (01.02 MC) Solve for : 2 x - (x - 2) = 4x

oee [108]

Answer:

$\small \sf \frac{2}{3} = x \\$

Step-by-step explanation:

Solve for x;

2x - ( x - 2 ) = 4x

distribute minus sign through parantheses

2x - x + 2 = 4x

combine like terms

x + 2 = 4x

subtract x from both side

x - x + 2 = 4x - x
2 = 3 x

Divide each side by 3

$\small \sf \frac{2}{3} = \frac{3x}{3} \\$

$\small \sf \frac{2}{3} = x\: \\$

3 0

3 years ago

Please help ill give brainly and heart !!!! please !

Blizzard [7]

Answer:

the answer is B

$v = \pi {r}^{2} h = 3.14 \times {3.5}^{2} \times 12.75 \\ v = 490.43$

Step-by-step explanation:

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything

I can help you solve what you want in mathematics in exchange for some money. If you want to, you can inform me about it and I will help you.

5 0

3 years ago

2.141414 as a fraction

Arte-miy333 [17]

.141414 has six digits, so put 1000000 under it, like this 2 141414/1000000, then divide the top and bottom by two, you get 2 70707/500000.

3 0

4 years ago

Read 2 more answers

A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides wa

ivann1987 [24]

Answer: 2b = 3g

Step-by-step explanation:

This is quite basic to solve, below is a Step by step explanation:

from the given question we have that;

A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute.

i.e b = 1500 gallons per minute

A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute.

g = 1000 gallons per minute.

Our questions tells us to write the equation which relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.

ANS:

Since flow from blue hydrant b = 1500 gallons per minute, we have that

b = 3 * 500

b = 3 * 1000/2 g

b = 3/2 g

equation gives 2b = 2g

cheers i hope this helped !!

5 0

3 years ago