Question

Solve with Quadratics

Answer 1

Answer:

x = 1 ± $\sqrt{6}$

Step-by-step explanation:

Given

2x² - 4x = 10 ( divide through by 2 )

x² - 2x = 5

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 5 + 1

(x - 1)² = 6 ( take the square root of both sides )

x - 1 = ± $\sqrt{6}$ ( add 1 to both sides )

x = 1 ± $\sqrt{6}$ ← exact solutions