Solve x^2 - 8x = 3 by completing the square. Which is the solution set of the equation?

Question

asked Jan 1, 2020 45.7k views

2 Answers

Hari Prasanth · Answer 1 · 2020-01-04T10:38:58+0000

Answer:

A

Explanation:

Given

x² - 8x = 3

To complete the square

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

x² + 2(- 4)x + 16 = 3 + 16

(x - 4)² = 19 ( take the square root of both sides )

x - 4 = ±
√(19) ( add 4 to both sides )

x = 4 ±
√(19)

Solution set is (4 -
√(19) , 4 +
√(19) )