Solve equation $$(x+1)^{2010}+(x+2)^{2010}=2^{-2009}$$
Solve equation $(x+1)^{2010}+(x+2)^{2010}=2^{-2009}$
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algebra-precalculus
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1What did you try? And is $x$ a real? – 2017-02-26
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0give me 1 idea. – 2017-02-26
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2Well clearly $x=-\frac{3}{2}$ is a solution. – 2017-02-26
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0equation $\forall x$ – 2017-02-26
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0$x=-\frac{3}{2}$ seem wrong – 2017-02-26
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1@WordShallow ... put a minus & a dollar in your last comment ... SCB's answer looks fine to me. – 2017-02-26
1 Answers
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Hints:
$$2^{-2010}+2^{-2010}=2^{-2009}$$
Differentiate to bound the number of solutions.