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If $ x - \frac{1}{x}= 8$, find the value of $x^4 +\frac{1}{x^4}$ |
4355 4352 4356 4354 |
4354 |
$(x - \frac{1}{x}) = a$ (x2 + x-2) = (a)2 + 2 = b = (x4 + x-4) = b2 - 2 If $ x - \frac{1}{x}= 8$, (x2 + x-2) = (8)2 + 2 = 66 find the value of $x^4 +\frac{1}{x^4}$ = 662 - 2 = 4356 - 2 = 4354 |
