Question

How to use the discriminant to find out what type of solutions the equation has for `4x^2 - 20x + 25`?

Answer 1

`D = d^2 = 400 - 200. = 200 = 100(2) -> d = +- 10sqrt2`

There are 2 real roots.

`x = 20/8 + (10sqrt2)/8 = 10/4 + (5sqrt2)/4`

`x = 10/4 - (5sqrt2)/4`