Question

Solve the quadratic equation by completing the square.

0 = x2 – 6x + 4

–4 = x2 – 6x

–4 + 9 = (x2 – 6x + 9)

5 = (x – 3)2

What are the two solutions of the equation?

x = StartRoot 5 EndRoot and x = negative StartRoot 5 EndRoot
x = 3 + StartRoot 5 EndRoot and x = 3 – StartRoot 5 EndRoot
x = 5 + StartRoot 3 EndRoot and x = 5 – StartRoot 3 EndRoot
x = StartRoot five-thirds EndRoot and x = negative StartRoot five-thirds EndRoot

Answer 1

B

Explanation:

Answer 2

x = 3 + StartRoot 5 EndRoot and x = 3 – StartRoot 5 EndRoot

Explanation:

(x - 3)^2 = 5

x - 3 = ±√5

x = 3 + √5, 3 - √5.