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Math Help - Using the Null Factor Law

  1. #1
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    Using the Null Factor Law

    Solve the following equation. (First rewrite the equation so that the right hand side equals zero.)

    (a) x squared = -x
    (b) x squared - 10x = 35 = 10
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  2. #2
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    Quote Originally Posted by mandarep View Post
    Solve the following equation. (First rewrite the equation so that the right hand side equals zero.)

    (a) x squared = -x
    (b) x squared - 10x = 35 = 10
    1. Rewrite the equation such that one side of it equals zero.
    2. Factorize the term. With your problems you'll get two factors.
    3. Use the property: A product equals zero if one (or more) factor(s) equals zero.

    x^2=-x~\implies~x^2+x=0~\implies~x(x+1)=0~\implies~x = 0~\vee~x+1=0

    Therefore the equation has the solution: x = 0~\vee~x = -1


    The second problem has to be done similarly. (I assume that the first = should be a +)
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