Question

3.Solve for the the values of x by factoring

Answer 1

Explanation:

`{x}^(2) - 5x - 24 = 0 \\ \\`

`{x}^(2) - 8 + 3x - 24 = 0 \\ \\`

`x(x - 8) + 3(x - 8) = 0 \\ \\`

`(x + 3)(x - 8) = 0\\\\`

`\boxed{x = - 3 \: or \: x = 8}`

Answer 2

x = 8 ; x = -3

Explanation:

Sum = -5

Product = - 24

Factors = 3 , (-8)

x² - 5x - 24 = 0

x² - 8x + 3x - 3 * 8 = 0

x(x - 8) + 3(x - 8)= 0

(x - 8)(x + 3) = 0

x - 8 = 0 ; x + 3 = 0

x = 8 ; x = -3