SOLUTION: Find the value of a,b, or c so that each equation will have exactly one rational solution. p^2+bp+25=0

Question 888797: Find the value of a,b, or c so that each equation will have exactly one rational solution. p^2+bp+25=0

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
p^2+10p+25=0

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: -5, -5. Here's your graph:

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