Question

How do you find the discriminant and how many solutions does `-3x^2+7x-2=0` have?

Answer 1

f(x) - 7x^2 + 7x - 2 = 0

D = d^2 = b^2 - 4ac = 49 - 24 = 25.-> d = +-5
There are 2 solutions (real roots)

`x1 = 7/6 + 5/-6 = 2/6 = 1/3`
`x2 = 7/6 - 5/-6 = 12/6 = 2`