((X-2)^0.5)+((X+3)^0.5)=((6*X-11)^0.5)
(X-2)^0.5=a
a+((a^2)+5)^0.5=((6*(a^2+(1/6)))^0.5)
a=((6*(a^2+(1/6)))^0.5)-((a^2)+5)^0.5
a^2=6*(a^2+(1/6))-2*((6*(a^2+(1/6)))^0.5)*(((a^2)+5)^0.5)+(a^2+5)
a^2=7*a^2+6-2*((6*(a^2+(1/6)))^0.5)*(((a^2)+5)^0.5)
6*a^2+6=2*((6*(a^2+(1/6)))^0.5)*(((a^2)+5)^0.5)
36*a^4+72*a^2+36=4*(6*(a^2+(1/6)))*((a^2)+5)
36*a^4+72*a^2+36=4*(6*a^4+31*a^2+5)
36*a^4+72*a^2+36=24*a^4+124*a^2+20
12*a^4-52*a^2+16=0
a^2=b
12*b^2-52*b+16=0
D=52^2-4*12*16=1936
1936^0.5=44
b=(52+44)/(2*12)=4
a=4^0.5=2
X=(2^2)+2=6