Let’s take this step by step.
If in this equation a=1, b=-4, and c=3, we can plug this into the quadratic formula -b+- (sqrt)b^2-4(ac)/2a
4 +- (sqrt) -4^2 - 4(1•3) / 2•1
Simplify the numerator/denominator
4+- (sqrt)16-12 / 2
4+- (sqrt)4 / 2
solve the sqrt
4+-2 / 2
divide by 2 to simplify
2 +- 1 = x
Our final answer is x=3, x=1.