Answer
$$b^{2}-(4ac)$$
No real solution.
Work Step by Step
What is the discriminant of the quadratic equation $ax^{2}+bx+c=0$?
We can find the discriminant in the quadratic equation. It is the part that is in the square root.
$$b^{2}-(4ac)$$
If $b^{2}-(4ac) \gt0$ There are two real solutions.
If $b^{2}-(4ac) =0$ There is only one real solution.
If $b^{2}-(4ac) \lt0$ The roots can’t be calculated, they are imaginary or non real.
Find the discriminants of $2x^{2}-3x+5=0$. How Many real solutions does this equation have?
$$(-3)^{2}-(4(2)(5)$$ $$9-40$$ $$-31$$
It has no real solution.
