SOLUTION: can somebody help me solve this equation: {{{4^(x-x^2)=1/2}}}

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Question 168986This question is from textbook college algebra
: can somebody help me solve this equation: 4%5E%28x-x%5E2%29=1%2F2This question is from textbook college algebra

Answer by Alan3354(21611) About Me  (Show Source):
You can put this solution on YOUR website!
can somebody help me solve this equation: 4%5E%28x-x%5E2%29=1%2F2
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4%5E%28x-x%5E2%29=1%2F2
2%5E%282x-2x%5E2%29=2%5E-1
2x-2x%5E2+=+-1
2x%5E2+-+2x+-+1+=+0
x+=+1%2F2+%2B+sqrt%283%29%2F2
x+=+1%2F2+-+sqrt%283%29%2F2