Question

What is the solution set of (x - 2)(x - 3) = 2?

a) {1, 4}
b) {2, 3}
c) {4, 5}

Answer 1

(x - 2)(x - 3) = 2
x^2-3x-2x+6=2
x^2-5x+6=2
x^2-5x+6-2=0
x^2-5x-4=0
dELTA=25-16=9
x1=5-3=1
x2=5+3=4
S={1,4}
hope it's correct :)