Find the sum of the roots of the quadratic equation $x^2-7x+12=0$.

Solution

1. The given equation is $x^2-7x+12=0$.
2. Comparing with $a{x}^2+bx+c=0$, we have $a=1$ and $b=-7$.
3. The sum of the roots is given by the formula $-\frac{b}{a}$.
4. Substituting the values, we get $-\frac{-7}{1}=7$.
5. Hence the answer is (C).