Question

Solve x^2-8x+5=0 using the completing-the-square method

Answer 1

Answer:

x = 4 ± $\sqrt{11}$

Step-by-step explanation:

To complete the square

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

x² + 2(- 4)x + 16 + 5 = 16

(x - 4)² + 5 = 16 ( subtract 5 from both sides )

(x - 4)² = 11 ( take the square root of both sides )

x - 4 = ± $\sqrt{11}$ ( add 4 to both sides )

x = 4 ± $\sqrt{11}$ ← exact values