What are the solutions to the equation 0 = x² - x - 6? check all that apply.
x = -3, x = -2, x = 0, x = 2, x = 3

Solution:

Given x² - x - 6 =0

This resembles quadratic equation ax² + bx + c =0

In order to find roots, we can use this formula:

x={ -b ± √(b² - 4ac) }/ 2a

Here, a = 1; b = -1; c = -6

x={ -(-1) ± √((-1)² - 4(1)(-6)) }/ 2(1)

x= { 1 ± √(1 + 24) }/ 2

x= { 1 ± √(25) }/ 2

x= { 1 ± √(5²) }/ 2

x= { 1 ± 5 }/ 2

x= 3, -2

The solutions for the given equation are 3, -2

What are the solutions to the equation 0 = x² - x - 6? check all that apply.

Summary:

The solutions to the equation 0 = x² - x - 6 are 3, -2.