SOLUTION: 5x^2+3x+5=0 What is the discriminant

Question 923970: 5x^2+3x+5=0
What is the discriminant
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
where , , and
we can find roots using quadratic formula , and the expression used to find the discriminant is the expression located under the radical in the quadratic formula
In a quadratic equation, the discriminant helps tell you the number of real solutions to a quadratic equation.
if there are two real solutions, if the discriminant is a perfect square the roots are rational, otherwise, they are irrational
if -> no real solutions, two imaginary (complex) solutions
if -> one real solution

in your case
=> => =>

in your case, -> no real solutions, two imaginary (complex) solutions

let's see it on a graph:

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