Question 958485



{{{sqrt(x+3)-sqrt(x-2)=1}}}..............square both sides

{{{(sqrt(x+3)-sqrt(x-2))^2=1^1}}}

{{{(sqrt(x+3))^2-2*sqrt(x+3)*sqrt(x-2)+(sqrt(x-2))^2=1}}}

{{{x+3-2*sqrt((x+3)(x-2))+x-2=1}}}

{{{2x+1-2*sqrt((x+3)(x-2))=1}}}

{{{2x+1-1=2*sqrt((x+3)(x-2))}}}

{{{2x=2*sqrt(x^2-2x+3x-6)}}}.........square both sides again

{{{4x^2=4*(x^2+x-6)}}}

{{{cross(4x^2)=cross(4x^2)+4x-24}}}

{{{0=4x-24}}}

{{{24=4x}}}

{{{x=24/4}}}

{{{x=6}}}