SOLUTION: Find the value of p for which the equation (1-2p)x^2 + 8px - (2+8p) = 0 has two equal roots.

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Question 1184310: Find the value of p for which the equation (1-2p)x^2 + 8px - (2+8p) = 0 has two equal roots.
Found 2 solutions by robertb, MathTherapy:
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!

The discriminant should be equal to 0:



===> 8p%5E2+%2B+%281-2p%29%281%2B4p%29+=+0, or 8p%5E2+%2B1+%2B2p+-+8p%5E2=0

===> highlight%28p+=+-1%2F2%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Find the value of p for which the equation (1-2p)x^2 + 8px - (2+8p) = 0 has two equal roots.
For equal roots to occur, the discriminant (b2 - 4ac) of the equation MUST EQUAL 0.

With , we get: