Question

How do you find the discriminant and how many solutions does `4d^2 - 8d + 3= 0` have?

Answer 1

Discriminant `D = d^2 = b^2 - 4ac = 64 - 48 = 16` --> d = 4 and d = -4. There are 2 solutions, called real roots.

`x1 = -b/2a + d/2a = 8/8 + 4/8 = 12/8 = 3/2`

`x2 = -b/2a - d/2a = 8/8 - 4/8 = 4/8 = 1/2.`