For what values of `x` and `y` the numbers `-3+ix^(2)y` and `x^(2)+y+4i` and complex conjugate to each other.

The complex number sinx+icos2x and cosx-isin2x are conjugate to each other when

Find the values of the real numbers x and y if 3x + (2x - 3y) i=6 + 3i^(9)

Find the real numbers x and y if (x-iy)(3+5i) is the conjugate of -6-24i .

For what value of x the tangent of the curve y = x^(3) - 3x^(2) + 2x -5 is parallel to x + y + 3 = 0

For what value of x the tangent of the curve y=x^(3)-3x^(2)+x-2 is parallel to the line y=x

For what value of x the tangent to the curve y = 3x^(2) + 4x +1 is parallel to the line y + 2x -3 = 0

Find the values of the real numbers x and y, if the complex numbers (3 - i) x - (2-i) y + 2i + 5 and 2x + (-1 + 2i)y + 3 + 2i are equal