Question 957066
{{{sqrt(4x+13)-sqrt(x+1) = 3}}}
{{{sqrt(4x+13)=3+sqrt(x+1)}}}
{{{4x+13=9+6sqrt(x+1)+x+1}}}
{{{4x+13=x+10+6sqrt(x+1)}}}
{{{3x+3=6sqrt(x+1)}}}
{{{(3x+3)^2=36(x+1)}}}
{{{9x^2+18x+9=36x+36}}}
{{{9x^2-18x-27=0}}}
{{{x^2-2x-3=0}}}
{{{(x-3)(x+1)=0}}}
Two solutions:
{{{x-3=0}}}
{{{x=3}}}
Verifying,
{{{sqrt(12+13)-sqrt(4)=3}}}
{{{sqrt(25)-2=3}}}
{{{5-2=3}}}
{{{3=3}}}
Good solution,
and
{{{x+1=0}}}
{{{x=-1}}}
Verifying,
{{{sqrt(-4+13)-sqrt(0)=3}}}
{{{sqrt(9)=3}}}
{{{3=3}}}
Good solution.