X^2+x-30=0

Question

Solve using any method

Answer 1

Factor the expression:

 

            x² +x - 30 = (x+6)(x-5) = 0

 

(because 6 and -5 are factors of -30 that make 6x - 5x = x - second term)

 

The product of two terms is zero if both are equal to zero or one of them.

 

It gives you x+6 = 0 and x-5 = 0 or

 

            x = -6   and x = 5

 

Check the answer by substituting these numbers back into the expression. Both satisfy.

Answer 2

x² + x -30 = 0

 

This expression can be factored into

 

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

 

which is true when x = -6 or x = 5.