Question

What number should be added to both sides of the equation to complete the square?

x2 + 8x = 4

A.4
B.8
C.16
D.32

What value of c makes x2 + 6x + c a perfect square trinomial?

A.3
B.6
C.9
D.12

Answer 1

to make complete square
we first need to find the last term of quadratic equation
for which we will use this formula

Answer 2

ok

Answer 3

@misssunshinexxoxo help her
and check my work also.
is that formula correct?

Answer 4

Yes correct.

Answer 5

In order to complete the square, you need to have a polynomial whose second-degree term (the \(x^2\)-term) has a coefficient of 1.
In both your given problems, the \(x^2\) term is simply \(x^2\), so you do have the coefficient of 1 that you need.
To find the term that completes the square, divide the coefficient of the x-term by 2, and then square it.

In you first problem, the coefficient of the x-term is 8.
Divide 8 by 2 and then square it. That is what needs to be added to complete the square.

In your second problem, the x-term has a coefficient of 6.
Divide 6 by 2, then square it. That is what needs to be added to complete the square.