Question

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

Answer 1

Answer: x = 4 +/-
`√(19)`

Explanation:

x² - 8x + 16 = 3 + 16

↓ ↑ ↑

`(-8)/(2) = (4)^(2)`

(x - 4)² = 19

`\sqrt{(x - 4)^(2)} = √(19)`

x - 4 = +/-
`√(19)`

x = 4 +/-
`√(19)`