x^2 + 2.20x+1.21 =0

&&

4x^2 + 5x + 13/8

"use the discriminant to determine the number of real solutions of the equation.
do not solve the equation "

The discriminant is b^{2}-4ac

Plug in you're a,b,c and see what you get.

Here are the conditions.

If the discriminant is >0, then it has 2 real roots.

If it = 0, then it has one real root of multiplicity 2.

If it is <0, then it has no real roots.