Solving x+x^1/2 = 6 - Can You Help?

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To solve the equation x + x^(1/2) = 6, one effective method is to substitute u = √x, transforming the equation into a quadratic form. This leads to the equation u^2 + u - 6 = 0. Factoring or using the quadratic formula will yield the solutions for u, which can then be squared to find the corresponding values of x. The correct solution for x is 4, confirming the initial assertion. Systematic calculation through substitution simplifies the problem significantly.
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I have got stuck with this simple problem,

x +x^1/2=6 ( x plus square root of x is equal to 6 )

Although I know the answer is 4, I don't know how to systmatically calculate this problem. Do you know? And how?
 
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Let u = \sqrt{x}, and then you have a quadratic in u.

--J
 

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