Question

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

Answer 1

To factor this equation out, the easiest way is to solve for the two x values that add up to -1 but when multiplied is equal to -6. It should look like this: (x +- ?)(x +- ?). 
The factored out form is then (x - 3)(x +2), because -3 + 2 = -1 and when multiplied together gives -6. 
x - 3 = 0
x = 3
x + 2 = 0
x = -2
The two solutions are therefore, x = 3 and x = -2. 

Answer 2

Answer:

Option 2 and 5.

The solution of the equation is x=-2 and x=3.

Step-by-step explanation:

Given : Equation $x^2-x-6=0$

To find : What are the solutions to the equation? Check all that apply.

Solution :

Equation $x^2-x-6=0$

Substitute all values from options which satisfy the equation is the solution.

1) x=-3

$(-3)^2-(-3)-6=0$

$9+3-6=0$

$12-6=0$

$6\neq 0$

2) x=-2

$(-2)^2-(-2)-6=0$

$4+2-6=0$

$6-6=0$

$0= 0$

3) x=0

$(0)^2-(0)-6=0$

$0-0-6=0$

$-6\neq 0$

4) x=2

$(2)^2-(2)-6=0$

$4-2-6=0$

$-4\neq 0$

5) x=3

$(3)^2-(3)-6=0$

$9-3-6=0$

$0=0$

The solution of the equation is x=-2 and x=3.