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The third root

Source:

August 15, 2005
quadraticsalgebraquadratic formulapolynomialsum of rootsproduct of rootsRational Root Theorem

Problem Statement

The roots of the equation x2+4x−5=0x^2+4x-5 = 0 are also the roots of the equation 2x3+9x2−6x−5=02x^3+9x^2-6x-5 = 0. What is the third root of the second equation?
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