SOLUTION: Find a quadratic equation with integral coefficients whose roots are the squares of the roots of 2x^2 - 3x - 5 = 0 (show your solution)
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Question 389838: Find a quadratic equation with integral coefficients whose roots are the squares of the roots of 2x^2 - 3x - 5 = 0 (show your solution) Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Find a quadratic equation with integral coefficients whose roots are the squares of the roots of 2x^2 - 3x - 5 = 0
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Find the roots of 2x^2 - 3x - 5 = 0
x = -1, 5/2
The squares are 1 and 25/4
--> (x-1)*(x-25/4) = 0
(x-1)*(4x-25) = 0
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The general solution appears to be
