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Just a math problem?

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what is 1/x=x/7?

& For what values of k will kx-2={square root of 2} have a rational solution when solving for x?

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  1. what is 1/x=x/7?

    & For what values of k will kx-2={square root of 2} have a rational solution when solving for x?

    asdfghjk...here it is

    1/x=x/7

    1 = x²/7

    x² = 7

    x=√7 ← Ans

    For what values of k will kx-2={square root of 2} have a rational solution when solving for x?

    k(x - 2) = √2

    k²(x - 2)² = 2

    k²(x - 2)(x - 2) = 2

    k²/2(x - 2)(x -2) = 0

    [(k²/2)x - 2(k²/2)][(x -2)] = 0

    [(k²/2)x - 2(k²/2)] = 0

    (k²/2)x = 2(k²/2)

    x = 2 k²/k²

    x = 2 ← Ans

    hope this helps


  2. x^2 = 7; x = sqrt 7

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