Question

How can you tell when a quadratic equation has no real solutions?

Answer 1

\[(-b \pm \sqrt{b ^{2}-4ac})/2a\]
In this part, if the
\[\sqrt{b ^{2}-4ac}\] section gives you a negative value like \[\sqrt{-10}\] then there are no real roots because negative square roots do not exist (unless we are talking about complex numbers where they are imaginary parts).

Answer 2

when the radicand is negative
when the radicand equals zero
when b in the quadratic formula is greater than the radicand
when the radicand is not a perfect square

Answer 3

When the radicand is negative. It means the number under the square root.

Answer 4

okay thanks