Question

Give an example of a quadratic equation that has two real solutions. Give an example of a quadratic equation that has only one real solution. Give an example of a quadratic equation that has no real solutions. Explain how you know.

Answer 1

in the quadratic equation 4x2 + 26x + 12 = 0, its discriminant is equals to b2 − 4ac = (26)2 − 4(4)(12) = 484 which is positive and so the equation has two real solutions. If the discriminant is zero, then there is exactly one real solution.

Explanation: