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

Algebra ->  Quadratic Equations and Parabolas -> 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       Log On


   

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) About Me  (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.

system%28a%2BB=-5%2F2%2CaB=k%2F2%2Ca-2B=3%29

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