Question 321011
Where did you get stuck?
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{{{x-5sqrt(x)+4=0}}}
{{{x+4=5sqrt(x)}}}
Square both sides.
{{{x^2+8x+16=25x}}}
{{{x^2-17x+16=0}}}
Factor the quadratic.
{{{(x-16)(x-1)=0}}}
Two solutions:
{{{x-16=0}}}
{{{x=16}}}
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{{{x-1=0}}}
{{{x=1}}}.
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Verify both solutions.
{{{x=16}}}
{{{16-5*sqrt(16)+4=0}}}
{{{20-20=0}}}
{{{0=0}}}
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{{{x=1}}}
{{{1-5*sqrt(1)+4=0}}}
{{{5-5=0}}}
{{{0=0}}}
Both solutions have been verified.