Question

If x power is 2 then
X^2+x-30=0

Answer 1

x sq. + 6x - 5x -30 = 0

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

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

x=5,-6

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Answer 2

We probably have to factorize the given quadratic equation and find its roots.

Begin by writing the given equation,
x² + x - 30 = 0

Splitting the middle term appropriately,
x² + 6x - 5x - 30 = 0

Now, taking out common factors,
x ( x + 6 ) - 5 ( x + 6 ) = 0

Again taking out common factors,
( x + 6 ) ( x - 5 ) = 0

By zero product rule,
( x + 6 ) = 0 OR ( x - 5 ) = 0
=> x = - 6 OR 5

Hence,

The roots of the quadratic equation x² + x - 30 = 0 are - 6 and 5.