SOLUTION: px^2+2qx+4=0,where p and q are constant,has equal roots.express q in term of p.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: px^2+2qx+4=0,where p and q are constant,has equal roots.express q in term of p.      Log On


   

Question 421954: px^2+2qx+4=0,where p and q are constant,has equal roots.express q in term of p.
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!

p%2Ax%5E2%2B2q%2Ax%2B4=0 is a quadratic equation.Since it has two equal roots the discriminant is zero.
D=b%5E2-4ac D=%282q%29%5E2-4p%2A%284%29= D=4q%5E2-16p
4%28q%5E2-4p%29=0
q%5E2-4p=0
q+=%28%2B-sqrt%284p%29%29