What number needs to be added to both sides of the equation in order to complete the square?
x2+14x=−32

x^2+14x = (x+7)^2
7^2 = 49
so you would add 49 to both sides
Answer:
49
Step-by-step explanation:
The formula for the whole square is
[tex]\left ( a+b \right )^2=a^{2}+2ab+b^{2}[/tex]
So, to make the complete square, in the expression
[tex]x^{2}+14x = - 32[/tex]
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.