Solve the equation: (x+1)5+(x+1)4(x−1)+(x+1)3(x−1)2++(x+1)2(x−1)3+(x+1)(x−1)4+(x−1)5=0.
Solution
Answer:x=0.
Multiplying both sides by 2=((x+1)−(x−1)) yields (x+1)6−(x−1)6=0 or equivalently (x+1)2=(x−1)2. Solving this equation, we obtain the unique solution x=0.
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Source: MathNet,
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