SOLUTION: Find the value of b so that the equation will have exactly one rational solution. 8p^2+bp+8=0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the value of b so that the equation will have exactly one rational solution. 8p^2+bp+8=0      Log On


   

Question 1115737: Find the value of b so that the equation will have exactly one rational solution.
8p^2+bp+8=0
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This works the same way as the other question from a few minutes ago. Discriminant must equal 0.


SET THE DISCRIMINANT EQUAL TO 0.
For quadratic equation in variable p,
a%2Ap%5E2%2Bbp%2Bc=0

The discriminant is b%5E2-4%2Aa%2Ac

If solution of the quadratic equation is for one rational value for p then b%5E2-4ac=0.