Question #N163
If $x^2 - 4x + 3 = 0$, what is the sum of the solutions to the equation?
A. 4
B. 3
C. -4
D. -3
Correct Answer is: A
The sum of the solutions to the quadratic equation $ax^2 + bx + c = 0$ is given by $-b/a$. Factoring the given quadratic equation, we get $(x-3)(x-1)=0$. Thus, the solutions to the equation are $x=3$ and $x=1$. The sum of these solutions is $3+1=4$. Therefore, the sum of the solutions to the equation is 4.