Question

Solve the quadratic equation by completing the square.

QUESTION ATTCHED BELOW!!!!!!!!!!PLEASES HELP!!REALLY LOST!!!!!!!

Answer 1

x =3.39, x = 10.61

Explanation:

Answer 2

x ≈ 3.39, x ≈ 10.61

Explanation:

Given

x² - 14x + 36 = 0 ( subtract 36 from both sides )

x² - 14x = - 36

To complete the square

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

x² + 2(- 7)x + 49 = - 36 + 49

(x - 7)² = 13 ( take the square root of both sides )

x - 7 = ±
`√(13)` ( add 7 to both sides )

x = 7 ±
`√(13)`

Hence

x = 7 -
`√(13)` ≈ 3.39

x = 7 +
`√(13)` ≈ 10.61