SOLUTION: (k - 2)x^2 + 50x + 2k + 3 = 0 How do I find the value of k if the roots are reciprocal The ans is -5 but i don't know the method

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: (k - 2)x^2 + 50x + 2k + 3 = 0 How do I find the value of k if the roots are reciprocal The ans is -5 but i don't know the method      Log On


   

Question 993056: (k - 2)x^2 + 50x + 2k + 3 = 0
How do I find the value of k if the roots are reciprocal
The ans is -5 but i don't know the method
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(k - 2)x^2 + 50x + 2k + 3 = 0
How do I find the value of k if the roots are reciprocal
The ans is -5 but i don't know the method
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Roots are:: [-50+-sqrt[50^2 - 4(k-2)*3]/2
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If they are reciprocal::
[-50 + sqrt(50^2-12(k-2)]/2 = 1/[-50-sqrt(50^2-12(k-2)]/2
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Solve for "k"
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Cheers,
Stan H.
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