Write the solution set of the equation x2+x-2=0 in roster form.
Determine the solution set of the equation x2+x-2=0 and write in roster form.
x2+x-2=0⇒x2+(2-1)x-2=0⇒x2+2x-1x-2=0⇒x(x+2)-1(x+2)=0⇒(x+2)(x-1)=0⇒x+2=0,orx-1=0∴x=-2,orx-1=0
Hence, the solution set of the equation x2+x-2=0 in roster form is {1,-2}.
Write the solution set of the inequation x2x−2>0.