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Having trouble finding an elegant solution to this problem (if there is one) without creating a table of values. Solve the inequation 1 + 2x -x^2 >= 2/x This is as far as I got.... Trying to find the x intercepts of f(x) = x^2 -2x -1 + 2/x x^2 -2x -1 + 2/x <= 0 Remove denominator by...

Suppose that a, b, c and d are positive integers and c is not a square. Given that a/(b + sqrt(c)) + d/sqrt(c) is rational, prove that b^2 * d = c (a + d). --> After getting the common denominator, I tried rationalising the denominator of a/(b + sqrt(c)) + d/sqrt(c) to remove sqrt(c) but I got...