Question

write the solution set of the equation x^2 + x - 2 = 0 in the roster form

Answer 1

Answer: {-2, 1}

The step-wise explanation is given below.

Hope it helps!!

Answer 2

Given; x^2 + x - 2 = 0

To Find; the solution set of the equation x^2 + x - 2 = 0 in the roster form

Solution; x^2 + x - 2 = 0

We can easily solve these types of equations by splitting the middle term which is factorisation using the splitting method. In this method, the middle term can be expressed as the sum of the first and last term multiplication

x^2 + x - 2 = 0

x^2 + 2x-x - 2 = 0

x(x+2)-1(x+2)=0

(x+2)(x-1)=0

Hence solution in roaster form is {1,2}