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Find all n ? N, such that the equationx-8/n-10=n/x has no solution x.
We get :x^2 - 8x + 10n - n^2 = 0For no roots, D<064 - 4(10n-n^2) <064 - 40n + 4n^2 <0n^2 - 10n + 16 < 0(n-8)(n-2) < 0n = (2,8)Hence, n can be 3,4,5,6,7 for no solution of xThanksBharat BajajIIT Delhiaskiitians faculty
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