Question

If x2-x-6=0 then x is

Answer 1

x = -2 or x = 3

Explanation:

`x^2-x-6=0\\\\x^2+2x-3x-6=0\\\\x(x+2)-3(x+2)=0\\\\(x+2)(x-3)=0\iff x+2=0\ \vee\ x-3=0\\\\x+2=0\qquad\text{subtract 2 from both sides}\\x=-2\\\\x-3=0\qquad\text{add 3 to both sides}\\x=3`