How do I solve quadratic equations using the quadratic formula?

Mathematics Answered $1.50
Asked by Carol Davis 6 days ago
I'm having trouble understanding when and how to use the quadratic formula. Can someone explain the steps and provide an example?

Answers (2)

Prof. Michael Chen
(4.4)
6 days ago
The quadratic formula is x = (-b ± √(b²-4ac)) / 2a. Here's how to use it step by step: 1) Identify coefficients a, b, and c from your equation ax² + bx + c = 0. 2) Substitute these values into the formula. 3) Calculate the discriminant (b²-4ac). 4) Solve for both possible values using + and - in the ± symbol. For example, with x² - 5x + 6 = 0: a=1, b=-5, c=6. Using the formula: x = (5 ± √(25-24))/2 = (5 ± 1)/2, so x = 3 or x = 2.
Accepted Answer
Dr. Lisa Park
(4.3)
6 days ago
The quadratic formula is x = (-b ± √(b²-4ac)) / 2a. Here's how to use it step by step: 1) Identify coefficients a, b, and c from your equation ax² + bx + c = 0. 2) Substitute these values into the formula. 3) Calculate the discriminant (b²-4ac). 4) Solve for both possible values using + and - in the ± symbol. For example, with x² - 5x + 6 = 0: a=1, b=-5, c=6. Using the formula: x = (5 ± √(25-24))/2 = (5 ± 1)/2, so x = 3 or x = 2.
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Carol Davis
Member since Jun 2025