I want to make sure that I am using my vocabulary words correctly to explain my answer for this problem. Thank You!!!

). This Quadratic formula needs to be factored -x^2 + 3 x + 5 = 0

x^2 - 3 x - 5 = 0

x = [ +3 +/- sqrt(9 + 20) ] / 2 The discriminant

1.5 +/- 2.69

the Quadratic Formula cannot be factored. It is a formula

You have used the formula correctly to find the roots of the given quadratic equation, but have come up with the wrong values.

x = (3±√29)/2 = (3±5.385)/2
= 8.385/2 or -2.385/2
= 4.19 or -1.19

Not sure how you got your values