Question

Solve x^(2/n) + 6 = 5x^(1/n)

Answer 1

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Answer 2

Given
$x^{2/n} + 6 = 5x^{1/n}$

$(x^{1/n})^2 + 6 = 5x^{1/n}$

Let $x^{1/n}=p$

The equation changes to

$p^2 + 6 = 5p$

$p^2 - 5p + 6 = 0$

On solving the quadratic equation, we get

p = 2, 3

$x^{1/n}=2 or 3$