How do I solve quadratic equations using the quadratic formula?

Mathematics Answered $5.00
Asked by Alice Johnson 1 week ago

I'm struggling with quadratic equations in my algebra class. I understand that the quadratic formula is

$$x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$

, but I don't know when to use it or how to apply it step by step.

Specifically, I need help with:
1. How to identify the coefficients a, b, and c from different forms of quadratic equations
2. When to use the quadratic formula vs other methods like factoring
3. How to interpret the discriminant ($b^2$-4ac) and what it tells us about solutions
4. Step-by-step examples with different types of quadratic equations
5. How to handle cases with no real solutions or repeated roots

Can someone provide a comprehensive explanation with multiple worked examples? I learn best when I can see the complete process from start to finish.

Answers (1)

Accepted Answer
Dr. Sarah Wilson
(4.2)
1 week ago

Answer: How do I solve quadratic equations using the quadratic formula?

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Alice Johnson
Member since Jul 2025