Question

What value of b^2 is needed for there to be exactly one real solution of a quadratic equation? Explain.

Answer 1

4ac

Explanation:

Assuming you're referring to the equation
`ax^2+bx+c=0`.

Since the discriminant
`D=b^2-4ac` has to be equal to 0 in order for there to be exactly one real solution, then we have the following:

`0=b^2-4ac\\b^2=4ac`

Therefore, b² needs to be the same value as 4ac.