The number of positive integral solutions of `x^4-y^4=3789108` is a.`0` b. `1` c. `2` d. `4`

Find the number of positive integral solutions of x y z=21600.

The number of non-negative integral solutions of x_1+x_2+x_3+4x_4=20 is

Find the number of positive integral solutions of the equation x+y+z=12.

The number of positive integral solutions of the equation x + y + z = 100 is

The number of real solutions of |x|+2sqrt(5-4x-x^2)=16 is/are a. 6 b. 1 c. 0 d. 4

Find the total number of positive integral solutions for (x ,y ,z) such that x y z=24. Also find out the total number of integral solutions.

Find the number of positive integreal solutions of ( pairs of positive integers satisfying ) x^2 - y^2 = 353702 .

Find the number of positive integral solutions satisfying the equation (x_1+x_2+x_3)(y_1+y_2)=77.

Let y be an element of the set A={1,2,3,4,5,6,10,15,30} and x_(1) , x_(2) , x_(3) be integers such that x_(1)x_(2)x_(3)=y , then the number of positive integral solutions of x_(1)x_(2)x_(3)=y is

If a ,b ,c are three distinct positive real numbers, the number of real and distinct roots of a |x^2|+2b|x|-c=0 is a. 0 b. 4 c. 2 d. none of these