Question

Find the discriminant and explain the best method of finding the x-intercepts algebraically for
y=-x^2+6x-7

Answer 1

The quadratic formula is \[\frac{ -b \pm \sqrt{b ^{2}-4ac} }{ 2a }\]

the discriminant is this part \[\sqrt{{b ^{2}-4ac}}\]

In this case a= -1 b = 6 and c = -7

Answer 2

The best method to solve for this problem is to simply the discriminant and solve both the positive and negative solution for x.