Question 190413
sqrt(x+10)+sqrt(x-6)=8
raise to power of 2:
 x+10+x-6+ 2(sqrt((x+10)(x-6)))=64
2x+4+ 2(sqrt(x^2+4x-60))=64
2(sqrt(x^2+4x-60) =60-2x
raise to power of 2 :
4(x^2+4x-60)= (60-2x)^2
4x^2+16x-240 = 3600+4x^2-240x
       
       256x = 3840

 ===========>   x = 15