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The quadratic x^2 + 3/2*x - 1 has the following unexpected property: the roots, which are 1/2  and -2, are one less than the final two coefficients.  Now find a quadratic with leading term x^2 such that the final two coefficients are both non-zero, and the roots are two less than these coefficients.

 
 May 6, 2022

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