Find all real numbers x that satisfy (sqrt(3x + 1) + sqrt(2 - x)) + (sqrt(3x + 1) + sqrt(2 - x))^2 + (sqrt(3x + 1) + sqrt(2 - x))^3 = 14.
a=1;b=0;p=0; cycle:d=a*10+b;if((sqrt(3x + 1) + sqrt(2 - x)) + (sqrt(3x + 1) + sqrt(2 - x))^2 + (sqrt(3x + 1) + sqrt(2 - x))^3 = 14, goto loop, goto next); loop:printd,", ",;p=p+1; next:b++;if(b<10, goto cycle, 0);b=0;a++;if(a<10, goto cycle, 0);print"Total = ",p
OUTPUT: x = - 1 / 4 [That is all I could find !!].
