Question

Write the quadratic equation in standard form.

(x - 3) 2 = 0

A.x 2 + 9 = 0

B.x 2 + 6x + 9 = 0

C.x 2 - 6x + 9 = 0

Answer 1

(x-3)² = (x-3)(x-3) = x² -3x -3x +9 or x² ,- 6x + 9. answer C

Answer 2

Therefore, c) x²- 6x. +9 .

Explanation:

Given: (x - 3) ² = 0

To find: Write the quadratic equation in standard form.

Solution: We have given that (x - 3) ² = 0

By the (a- b) ²=a²+ b²- 2ab

Here a= x and b= 3

(x- 3) ²= x²+ 3²- 2* x * 3

(x- 3) ²= x²+9 - 6x.

Therefore, c) x²- 6x. +9 .