The integral values of x for which `x^(2)+7x+13` is perfect square are `alpha and beta` then

The integral values of x for which x^(2)+17x+71 is perfect square of a rational number are a and b,then |a-b|=

The integral values of x for which x^2 +17x+71 is perfect square of a rational number are a and b, then |a-b| =

If the positive integral values of x for which f(x)=x^(3)-8x^(2)+20x-13 is a prime are alpha,beta,gamma then

The value of 'c' for which |alpha^(2) - beta^(2)| = 7//4 , where alpha and beta are the roots of 2 x^(2) + 7 x + c = 0 , is

The value of 'c' for which |alpha^(2) - beta^(2)| = 7//4 , where alpha and beta are the roots of 2 x^(2) + 7 x + c = 0 , is

The value of ' c ' for which |alpha^(2)-beta^(2)|=(7)/(4) where alpha and beta are the roots of 2 x^(2)+7 x+c=0 is

If alpha,beta are the values of x for which {x},[x],x are in harmonic progression then find the value of (1)/(| alpha beta|)

If alpha and beta are the roots of the equation x^(2)+alpha x+beta=0 such that alpha ne beta , then the number of integral values of x satisfying ||x-beta|-alpha|lt1 is

If alpha and beta are the roots of the equation x^(2)+alpha x+beta=0 such that alpha ne beta , then the number of integral values of x satisfying ||x-beta|-alpha|lt1 is