Compare and contrast the solutions of ax^2 + h = 0 to the solutions of ax^2 = h, where a and h are positive.

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asked by Jade
  1. well, you have

    ax^2 = -h
    ax^2 = h

    In either case, a and h must have the same sign, since x^2 is always positive.

    Unless x=0, in which case, h=0.

    x = ±√|h/a|

    Naturally, if a=0, there is no solution unless h is also zero.

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    posted by Steve

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