How many integral solutions will the following equation have P 388?

the number of ways in which 388 can be expressed as difference of squares in one way as 388 is a prime multiple of 4(4×97). However, since the question is about integral solutions, the total number of ways in which it can be expressed will be 4 (2 cases for p, positive and negative and 2 cases for q.

How many integral solutions are possible for the equation x2 y2 286?

Answer: there are over infinite solutions for linear equations in two variables.

How many positive integral solutions are there?

So, total number of positive integral solutions=15.

What is integral value math?

integral, in mathematics, either a numerical value equal to the area under the graph of a function for some interval (definite integral) or a new function the derivative of which is the original function (indefinite integral).

How do you find the number of integral roots?

If a is an integer root of x8−24×7−18×5+39×2+1155 then a must be a factor of 1155=3⋅5⋅7⋅11 so there are (1+1)(1+1)(1+1)(1+1)=16 positive possible factors and a way to see that any of them is a root would be division by (x−a) for possible a.

How many positive integral solutions are there for 135?

Solution: Total number of factors of 135 is 8. So, total number of positive integral solutions = 8/2 = 4. In this case, total number of positive integral solutions will be = [ (Total number of factors of N) – 1] / 2

How to find the integral solutions of this type of equation?

Few rules to find integral solutions of this type of equations. First, reduce the equation in lowest reducible form. After reducing, if coefficients of x and y still have a common factor, the equation will have no solutions. If x and y are co-prime in the lowest reducible form, find any one integral solution.

What is the total number of non-zero integral solutions of x2-y2 = N?

Therefore, total number of non-zero integral solutions = 4 (n-1). When we are asked to calculate how many positive integral solutions are possible for the equation X 2 – Y 2 = N, there can be 4 cases.

What is the total number of positive integral solutions of 4k+2?

So, total number of positive integral solutions = 8/2 = 4. NOTE:If a given number is of the form 4k+2, it cannot be expressed as difference of two squares. In this case, total number of positive integral solutions will be = { [Total number of factors of (N/4)] – 1 } / 2