Question

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

Answer 1

Answer:

49

Step-by-step 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