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    Roots in equations

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    1. Without solving the equation determine the number of roots (real, different, same, imaginary):

    a) 2x^2+7x-14=0

    b) do the same for 2x^2-3x+10=0

    c) e^2x+5=ln 125

    © BrainMass Inc. brainmass.com March 4, 2021, 5:37 pm ad1c9bdddf
    https://brainmass.com/math/complex-analysis/determining-number-roots-given-equations-2816

    Solution Preview

    1 a) Compute the determinant: b^2-4ac=7^2-4(2)(-14)=49+112=161>0.
    Thus the equation has two ...

    Solution Summary

    This shows how to determine the number of roots without solving an equation.

    $2.19

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