Olympiad level Algebra Challenge | Find the value of x^7 - 1/x^7 solve by @MindyourBRAIN1 #algebra

x-7=±1 The complete solution is the result of both the positive and negative portions of the solution.Read more

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Write 1 = e2kπi for some integer k, and then take the 7th root of both sides. For different values of k, you get the different roots of unity.Read more

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Subtracting 7 from both sides: (x + 7) - 7 = 1 - 7 gives x = -6. This is the only solution to this equation.Read more

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Add 7 7 to both sides of the inequality. x<1+7 Add 1 1 and 7 7 . x<8 x < 8 The result can be shown in multiple forms.Read more

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Hi, I need help solving this equation exactly using only square roots. I'm aware that one solution for this problem is x k = e 2 k i π 7 ...Read more

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Simplify 1 − 7 1-7 1−7 to − 6 -6 −6. x = − 6 x=-6 x=−6.Read more

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x7+1=0⟹x7=−1 x 7 + 1 = 0 ⟹ x 7 = − 1. Letz=−1|z|=1arg z=π Let z = − 1 | z | = 1 arg z = π. 7 distinct 7th roots of - 1 can be found from 7 ...Read more

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2 Answers 2 ... Factoring x7−1 is equivalent to factoring x8−x. Now, x8−x=0 is the equation that defines the finite field with 8 elements.Read more

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