Question 5837
{{{2sqrt(x)+(20)=15+3*sqrt(x)}}}
subtract 20 from both sides:
{{{2sqrt(x)=-5+3*sqrt(x)}}}
square both sides:
{{{4*x=25-30*sqrt(x)+9x}}}
subtract 25-9x from both sides:
{{{-5x-25=30*sqrt(x)}}}
divide both sides by -5
{{{x+5=-6*sqrt(x)}}}
square both sides:
{{{x^2+10x+25=36*x}}}
subtract 36x from both sides:
{{{x^2-26x+25=0}}}
Factor:
{{{(x-25)(x-1)=0}}}
x=25 or x=1