1)sqrt(2x+3)=x-2-4 x>=6
2x+3=(x-6)^2
2x+3=x^2-12x+36
x^2-14x+33=0
x1=11
x2=3∉
2)3x^2-11x+8=x^2-2x+1 x<=1<br>2x^2-9x+7
x1=9+5/4=7/2=4,5∉
x2=9-5/4=1
3)32-x=x^2-4x+4 x<=2<br>-x^2+3x+28=0
x1=-3+11/-2=-4
x2=-3-11/-2=7 ∉
4)(sqrt(3x+10)+sqrt(x-4))^2=6^2 x<=15/2=7,5<br>3x+10+2sqrt((3x+10)(x-4))+x-4=36
4x+6+2sqrt(3x^2+10x-12x-40)=36
sqrt(3x^2-2x-40)=30-4x/2
3x^2-2x-40=(15-2x)^2
3x^2-2x-40=225-60x+4x^2
x^2-58x+265=0
x1=58+48/2=53∉
x2=58-48/2=5