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
<pre>
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(a+B=-5/2,aB=k/2,a-2B=3)}}}

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</pre>