I need help solving quadratic equations. I know the formula x = frac{-b pm sqrt{b^2 – 4ac}}{2a}, but I want a step-by-step explanation with an example.
For example, solve: 2x^2 + 5x – 3 = 0.
Please explain each step clearly, including how to:
- Identify a, b, and c
- Calculate the discriminant (b^2 – 4ac)
- Apply the quadratic formula
- Find both solutions
I also want tips to avoid mistakes and understand why each step works.
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