SOLUTION: Find the quadratic equation with integral coefficients whose roots are -7/2 and 2/3.

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Question 825270: Find the quadratic equation with integral coefficients whose roots are -7/2 and 2/3.
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
Roots of a quadratic equation given, set-up (x-a)(x-c)=0, like this:

%28x%2B7%2F2%29%28x-2%2F3%29=0, giving you the roots you want;
and to have coefficients to be integers, looking at the 2 and 3 denominators, use factor of 6:

highlight%286%28x%2B7%2F2%29%28x-2%2F3%29=0%29.

You could multiply completely to check the result as general form.