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.