How many real numbers x satisfy the equation `3^(2x+2)-3^(x+3)-3^(x)+3 = 0`?

Let real numbers x and y satisfy the equations x^(3)-3x^(2)+5x=1 and y^(3)-3y^(2)+5y=5 respectively then the value of x+y is equal to

Number of distinct real values of x satisfying the equation x^(3)-5x^(2)+7x-3=0 is

Number of real values of x satisfying the equation 3^(x+2)+3^(2-x)=82 is not equal to

The number of real roots of the equation 2x^(3) -3x^(2) + 6x + 6 = 0 is

The number of real solutions of the equation 3^(-|x|)-2^(|x|)=0 is:

The number of real solutions of the equation 3^(-|x|)-2^(|x|)=0 is:

The number of real solutions of the equation 3^(-|x|)-2^(|x|)=0 is:

The number of real roots of the equation |x|^(2) -3|x| + 2 = 0 , is

The number of real roots of the equation |x|^(2) -3|x| + 2 = 0 , is