Answer:
x = 3
x = 4
Explanation:
"find the roots" means to find the solutions to the equation.
Roots are solutions are zeros are x-intercepts.
You are being asked to solve the equation.
First, factor the quadratic.
x^2 -7x + 12 = 0
(x - 3)(x - 4) = 0
This works because -3 × -4 is 12 and
-3 + -4 is -7
You see the 12 in the equation is the constant and the -7 is the middle term, the x-term in the trinomial.
So we have
(x - 3)(x - 4) = 0
Separate the two factors into two separate tiny, one-step equations.
x - 3 = 0 , x - 4 = 0
Solve.
x = 3 , x = 4
These are the roots (solutions, zeros and x-intercepts)