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If x2 - 7x + 1= 0 and x > 1, then the value of x2 + \(\frac{1}{x^2}\) will be: |
49 45 34 47 |
47 |
If x2 - 7x + 1= 0 Divide by x on both sides, x + \(\frac{1}{x}\) = 7 x2 + \(\frac{1}{x^2}\) = 72 - 2 = 47
If x + \(\frac{1}{x}\) = a then, x2 + \(\frac{1}{x^2}\) = a2 - 2 |
