Question 841227
{{{ sqrt(5x+4)-3x=0}}}
{{{ sqrt(5x+4)=3x}}}
{{{5x+4=9x^2}}}
{{{9x^2-5x-4=0}}}
{{{(9x+4)(x-1)=0}}}
Two solutions:
{{{9x+4=0}}}
{{{9x=-4}}}
{{{x=-4/9}}}
Check this solution.
{{{sqrt(5(-4/9)+4)-3(-4/9)=0}}}
{{{sqrt(-20/9+36/9)+12/9=0}}}
{{{sqrt(16/9)+4/3=0}}}
{{{4/3+4/3=0}}}
{{{8/3=0}}}
This is not a valid solution.
{{{x-1=0}}}
{{{x=1}}}
Checking again,
{{{sqrt(5(1)+4)-3(1)=0}}}
{{{sqrt(9)-3=0}}}
{{{3-3=0}}}
{{{0=0}}}
This is a valid solution.
{{{highlight(x=1)}}}