A quadratic equation has exactly one real number solution. Which is the value of its discriminant?
We will use the concept of solutions of a quadratic equation to answer this question.
Answer: If a quadratic equation has exactly one real number solution, then the value of its discriminant is always zero.
A quadratic equation in variable x is of the form ax2 + bx + c = 0, where a ≠ 0.
In the case of one real solution, the value of discriminant b2 - 4ac is zero.
For example, x2 + 2x + 1 = 0 has only one solution x = -1.
Discriminant = b2 - 4ac = 22 - 4 (1) (1) = 0
You can calculate the determinant of a quadratic equation using Cuemath's Determinant Calculator.
Thus, if a quadratic equation has exactly one real number solution, then the value of the discriminant is always zero.