Question

What are the solutions of the quadratic equation below ?
x^2-8x+11

Answer 1

x = 4 ±
`√(5)`

Explanation:

to find the solutions equate the quadratic to zero

x² - 8x + 11 = 0 ( subtract 11 from both sides )

x² - 8x = - 11

solve using the method of completing the square

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

x² + 2(- 4)x + 16 = - 11 + 16

(x - 4)² = 5 ( take square root of both sides )

x - 4 = ±
`√(5)` ( add 4 to both sides )

x = 4 ±
`√(5)`

Answer 2

Here’s the answer hope it helps.