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

The number of real numbers in [0,2pi] satisfying sin^4x - 2 sin ^2x+1 is ........

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

If there are four distinct real numbers satisfying thẻ equation |x^2-4 x-7|=n , then number of integers in the range of n is

Find all real solutions to 2^x+x^2=2-(1)/(2^x) .

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

If t is a real number satisfying the equation 2t^3-9t^2+30-a=0, then find the values of the parameter a for which the equation x+1/x=t gives six real and distinct values of x .

The number of real values of x satisfying tan^-1(x/(1-x^2))+tan^-1 (1/x^3) = (3 pi)/4 is

A function f, defined for all positive real numbers, satisfies the equation f(x^2)=x^3 for every x >0 . Then the value of f^(prime)(4) is (a) 12 (b) 3 (c) 3//2 (d) cannot be determined

If f(x)= -x^(3)-3x^(2)-2x+a,a in R then the real values of x satisfying f(x^(2)+1)gtf(2x^(2)+2x+3) will be