Question

Solve for xxx. Enter the solutions from least to greatest.

x^2 + x - 30 = 0x
2
+x−30=0

Answer 1

Given:

The quadratic equation is:

`x^2+x-30=0`

To find:

The solutions of the given equation.

Solution:

We have,

`x^2+x-30=0`

Splitting the middle term, we get

`x^2+6x-5x-30=0`

`x(x+6)-5(x+6)=0`

`(x+6)(x-5)=0`

Using zero product property, we get

`x+6=0` and
`x-5=0`

`x=-6` and
`x=5`

Therefore, the solutions of the given quadratic equation are -6 and 5.