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If $x - \frac{1}{x}=11,$ What is the value of $(x^4 +\frac{1}{x^4})$? |
14159 14163 15127 15131 |
15127 |
$(x - \frac{1}{x}) = a$ (x2 + x-2) = (a)2 + 2 = b = (x4 + x-4) = b2 - 2 If $x - \frac{1}{x}=11,$ (x2 + x-2) = (11)2 + 2 = 123 (x4 + x-4) = 1232 - 2 = 15127 |
