Question

Complete the square to solve 4x2 + 24x = 4.

Answer 1

X=1/8

Explanation:

Calculate the product 4x×2 + 24x = 4

Collect like terms 8x + 24x = 4

Divide both sides of the equation by "32" 32x = 4

Solution x = 1/8

Answer 2

x = - 3 ±
`√(10)`

Explanation:

Given

4x² + 24x = 4 ( divide through by 4 )

x² + 6x = 1

To complete the square

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

x² + 2(3)x + 9 = 1 + 9

(x + 3)² = 10 ( take the square root of both sides )

x + 3 = ±
`√(10)` ( subtract 3 from both sides )

x = - 3 ±
`√(10)`