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Really struggling with this concept. Any help will be greatly appreciated! Please detail explain so I can fully understand how to solve. Thank you so much.

the quadratic formula.
Solve the following equations for x.
a. x2 + 2x -3 = 0
b. 2x2 + x +3 = 0
c. 2x2 + 4x -3 = 0
d. If x represents a distance, we expect real solutions to the equation. Which of the
above equations have a real solution?

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I recently asked this question, but the answers are not loading. I don't understand part a, and the formulas used. I guess I don't understand how to derive the formulas into what you need. Could you explain, step by step?