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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 Preview

    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 ...

    Solution Summary

    Solve quadratic equations by factoring and quadratic formula methods.