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Algebra: quadratic equations

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A. Why do you factor a quadratic equation before you solve?

B. Why are there usually two solutions in quadratic equations? Under what conditions will a quadratic equation have only one solution? No solutions?

C. How can you tell before solving the equation how many solutions to expect?

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Solution Summary

Solve quadratic equations by factoring and quadratic formula methods.

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A. We factor quadratic equations before we solve, because in this way is easier to find the solutions.
Let us say that we have a quadratic equation: ax^2+bx+c=0.
After factoring it, we get (x-x1)(x-x2)=0 and from here we get x=x1 and ...

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