SOLUTION: Find the value of p for which the equation (1-2p)x^2 + 8px

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

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) (Show Source): You can put this solution on YOUR website!

The discriminant should be equal to 0:

===> , or

===>
Answer by MathTherapy(10552) (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:

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