(08.03 LC)What types of solutions will a quadratic equation have when the discriminant b2 − 4ac in the quadratic formula is zero?Group of answer choicesTwo nonreal solutionsOne real solutionTwo real solutionsNo solutions
Question
(08.03 LC)What types of solutions will a quadratic equation have when the discriminant b2 − 4ac in the quadratic formula is zero?Group of answer choicesTwo nonreal solutionsOne real solutionTwo real solutionsNo solutions
Solution
When the discriminant (b² - 4ac) in the quadratic formula is zero, the quadratic equation will have one real solution. This is because the discriminant tells us the number and type of solutions for a quadratic equation. If it's positive, we have two real solutions. If it's negative, we have two nonreal solutions. But if it's zero, we have exactly one real solution.
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