Question

Solve the quadratic equation. x2+x−6=0

Answer 1

`x = 2` or (look down)

Explanation:

`x^(2)`+
`x`−
`60`
`=`
`0`

Answer:

`x = -3`

Answer 2

The value of x is -3 and 2.

Explanation:

First, you have to elaborate the equation :

`{x}^(2) + x - 6 = 0`

`{x}^(2) - 2x + 3x - 6 = 0`

Next, you can factorize it by taking out the like-terms :

`x(x - 2) + 3(x - 2) = 0`

`(x + 3)(x - 2) = 0`

Lastly you have to solve it :

`x + 3 = 0`

`x = - 3`

`x - 2 = 0`

`x = 2`