What number should be added to both sides of the equation to complete the squa
x2 - 10x = 7

Given:

The equation is:

To find:

The number that should be added to sides of the equation to complete the square.

Solution:

If an expression is in the form of , then we have to add to make it perfect square.

We have,

            ...(i)

To make it perfect square we need to add square of half of coefficient of x on both sides.

Coefficient of x is -10, so square of half of coefficient of x is:

On adding 25 on both sides of (i), we get

Therefore, we need to add 25 to both sides of the equation to complete the square.

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!