Find all real values of `x` which satisfy `x^2-3x+2>0a n dx^2-2x-4lt=0.`

Determine the values of m for which equations 3x^2+4m x+2=0a n d2x^2+3x-2=0 may have a common root.

Find all real numbers satisfying 4^x - 3(2^(x+2))+ 2^5 = 0

Let sqrt(((x+1)(x-3))/((x-2))) . Find all the real values of x for which y takes real values.

Let y=sqrt(((x+1)(x-3))/((x-2))) . Find all the real values of x for which y takes real values.

Find all real value of a for which the equation x^4 + (a - 1)x^3+ x^2 + (a - 1)x + 1 = 0 possesses at least two distinct positive roots

Find all values of x that satisfies the inequality (2x-3)/((x-2)(x-4))lt0

The sum of all real values of X satisfying the equation (x^2-5x+5)^(x^2 + 4x -60) = 1 is:

Find all value of x for which (x^(3)(x-1))/((x-2))gt 0

Find the value of x which satisfy equation 2 tan^(-1) 2x = sin^(-1).(4x)/(1 + 4x^(2))