Question

Help please within the next hour

Amira is solving the equation x2 – 6x = 1. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?
a. –9
b. 8
c. 9
d. 36

Answer 1

c. 9

To complete the square, you take half of the coefficient of b and square it. It's important to note that the value being added will always be positive.

`{ax}^(2) + bx + c`

`b = - 6`

`- 6 / 2 = - 3`

`= {( - 3)}^(2)`

`= 9`