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Find a quadratic equation, with integer coefficients, such that one of the roots is (13 - sqrt(131))/4.

 Oct 6, 2020
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The other root will be   (13 + sqrt131)/4

 

So you have     (x -(13+ sqrt131)/4)(x-(13-sqrt131)/4)      expand and simplify

                          x^2 - 13/2 x + 38/16         multiply by 8 to get integer coefficients

                         8x^2 - 52x+ 19

 Oct 6, 2020
edited by ElectricPavlov  Oct 6, 2020
edited by ElectricPavlov  Oct 6, 2020

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