Question

Help plz solve these equations by completing the square

x square + 12x =1

Answer 1

x = - 6 ±
`√(37)`

Explanation:

Given

x² + 12x = 1

To complete the square

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

x² + 2(6)x + 36 = 1 + 36

(x + 6)² = 37 ( take the square root of both sides )

x + 6 = ±
`√(37)` ( subtract 6 from both sides )

x = - 6 ±
`√(37)` ← exact solutions