Complete the square to solve the equation below.

Mathematics

1 answer:

Vinil7 [7]3 years ago

3 0

9514 1404 393

Answer:

B. x = -6, x = 4

Step-by-step explanation:

The constant on the left wants to be 1, the square of half the x-coefficient. We can get it to be that value by adding 8 to the equation.

x² +2x +1 = 25

(x +1)² = 25 . . . . . . . rewrite the left side as a square

x +1 = ±√25 = ±5 . . . . take the square root

x = -1 ±5 . . . . . . . . . subtract 1

x = -6 or x = 4

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