How to solve $x - 3\sqrt{\frac{5}{x}} = 8$ for $x - \sqrt{5x}$? I have a problem from my textbook. By using $x - 3\sqrt{\frac{5}{x}} = 8$ how can we find the value of $x - \sqrt{5x}$. I have derived the equation that's given so much, but i couldn't find the answer. Solvings or hints are appreciated.

we can write $$x-8=3\sqrt{\frac{5}{x}}$$ after squaring this equation we get
$$x^2-16x+64=9\cdot \frac{5}{x}$$ multiplying by $$x\ne 0$$ we obtain
$$x^3-16x^2+64x-45=0$$ factorizing this equation we get
$$(x-5)(x^2-11x+9)=0$$ can you finish now?
