Question

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

Answer 1

\[ \large D=b^2-4ac < 0 \]

Answer 2

D is called the discriminant and decides wether there are solutions or not \( \in \mathbb{R}\)

Answer 3

when the radicand is negative

when b in the quadratic formula is greater than the radicand

when the radicand equals zero

when the radicand is not a perfect square

Answer 4

when the radicand is negative, you can not take the square root of a negative number without using complex numbers.

Answer 5

\[ \sqrt{-16} = \text{undefined in} \ \mathbb{R}\]

Answer 6

Thanks

Answer 7

welcome