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?
–9
8
9
36

Respuesta :

Answer:

9

Step-by-step explanation:

When the leading coefficient (the coefficient of the x² term) is 1, we can complete the square by taking the b coefficient (coefficient of the x term), dividing it by 2, squaring the result, and adding it to both sides.

b = -6

b/2 = -3

(b/2)² = 9

Add 9 to both sides to make the left side a perfect-square trinomial.

Answer:

9

Step-by-step explanation: