The equation `(a + 2)x^2 + (a-3)x = 2a - 1, a != -2` has roots rational for

The equation (a+2)x^(2)+(a-3)x=2a-1,a!=2 has rational roots for

If m in Z and the equation m x^(2) + (2m - 1) x + (m - 2) = 0 has rational roots, then m is of the form

The equation 2^(2x) + (a - 1)2^(x+1) + a = 0 has roots of opposite sing, then exhaustive set of values of a is

The equation 2^(2x) + (a - 1)2^(x+1) + a = 0 has roots of opposite sing, then exhaustive set of values of a is

The equation 2^(2x) + (a - 1)2^(x+1) + a = 0 has roots of opposite sing, then exhaustive set of values of a is

The roots of the equations 2x - (3)/(x) = 1 are

If the equation : (a +1) x^2 -(a+2)x+(a+3)=0 has roots equal in magnitude but Opposite in signs, then the roots of the equation are:

If p and q are odd integers, then the equation x^2+2px+2q=0 (A) has no integral root (B) has no rational root (C) has no irrational root (D) has no imaginary root

If p and q are odd integers, then the equation x^2+2px+2q=0 (A) has no integral root (B) has no rational root (C) has no irrational root (D) has no imaginary root

2x^(2) + 3x - alpha - 0 " has roots "-2 and beta " while the equation "x^(2) - 3mx + 2m^(2) = 0 " has both roots positive, where " alpha gt 0 and beta gt 0. If alpha and beta are the roots of the equation 3x^(2) + 2 x + 1 = 0 , then the equation whose roots are alpha + beta ^(-1) and beta + alpha ^(-1)