Question

What number needs to be added to both sides of the equation in order to complete the square?

x2+14x=−32

Answer 1

49

Explanation:

The formula for the whole square is

`\left ( a+b \right )^2=a^(2)+2ab+b^(2)`

So, to make the complete square, in the expression

`x^(2)+14x = - 32`

First take half of the term 14 x that is 7x and then divide it by x so it is 7. Now take its square that is 49. So add 49 on both the sides to make the given expression as a whole square.

Answer 2

x^2+14x = (x+7)^2

7^2 = 49

so you would add 49 to both sides