SOLUTION: if a and B are the roots of a quadratic equation 2x^2+5x+k=0 where k is constant and the (a-2B)=3. find the value of: a)B b)k

Question 1145284: if a and B are the roots of a quadratic equation 2x^2+5x+k=0 where k is constant
and the (a-2B)=3. find the value of: a)B b)k

Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!
if a and B are the roots of a quadratic equation 2x^2+5x+k=0 where k is constant
and the (a-2B)=3. find the value of: a)B b)k

Use the fact that that for any quadratic equation

px² + qx + r = 0,  where |p| > 0

the sum of the roots is -q/p and the product of the roots is r/p.
So we have this system of 3 equations and 3 unknowns.



You can solve that for all 3 unknowns by substitution.

Any questions?  Ask me below and I'll get back to you by email.

Edwin

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