solve √(5x-1) - √x=1 eq. 1(adsbygoogle = window.adsbygoogle || []).push({});

transpose one of the radicals: √(5x-1)=√x+1

Square: 5x-1=x+2√x+1

Collect terms: 4x-2=2√x or 2x-1=√x

Square: 4x^2-4x+1=x, x=1/4 , 1.

x=1/4 is not the root by substitution to equation 1.

......

My question what makes x =1/4 is not the root, only x=1 is the root.

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# Quadratic Equation

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