The solutions to the equation 2x^2+x-1=2 are x=-3/2 or x=(the answer is 1)

ANSWER


EXPLANATION

The equation is



We group every term on the left hand side of the equation to obtain,


This implies that,



This is now a quadratic equation in

We multiply the coefficient of

which is 2, by the constant term which us

This gives


Two factors of -6 that adds up to 1 are


We split the middle term with the factors,


Thus, the equation becomes,



We factor to obtain,



We factor further to obtain,



This means that,





Hence the other root is