SOLUTION: If the equation 2x(p-x)=3 has real and equal roots, the exact values of p?

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Question 996486: If the equation 2x(p-x)=3 has real and equal roots, the exact values of p?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
2px-2x%5E2-3=0
-2x%5E2%2B2px-3=0
2x%5E2-2px%2B3=0

"real and equal roots" means ONE root. Discriminant must be 0.

%28-2p%29%5E2-4%2A2%2A3=0
4p%5E2-24=0
p%5E2-6=0
highlight%28p=0%2B-+sqrt%286%29%29