SOLUTION: Find the value of b so that the equation will have exactly one rational solution. 12p^2+bp+3=0

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Question 678341: Find the value of b so that the equation will have exactly one rational solution.
12p^2+bp+3=0
Answer by Alan3354(69443) About Me  (Show Source):
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Find the value of b so that the equation will have exactly one rational solution.
12p^2+bp+3=0
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2nd order equations ALWAYS have 2 solutions.
Sometimes it's the same solution, multiplicity 2, but there are 2 solutions.
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To have the same solution twice, the discriminant = 0
b%5E2+-+4ac+=+0
b%5E2+-+4%2A12%2A3+=+0
b%5E2+=+144
b = -12
b = +12