If `x=3+2i`,then prove that `x^4-4x^3+4x^2+8x+39=0`.

Similar Questions

Explore conceptually related problems

If x-2y = 4 then prove that x^3-8y^3-24xy-64=0

Prove that If 3x+2y=-1 , then prove that 81x^4+16y^4+1-72x^2y^2-18x^2-8y^2=0

If 3x + 2y = -1 , then prove that 27x^3+8y^3+1-18xy = 0

If sin^-1 x+sin^-1 y+sin^-1 z=pi , prove that x^4+y^4+z^4+4x^2y^2z^2=2(x^2y^2+y^2z^2+z^2x^2)

For all values of x prove that (2x^2-8x+9)gt0 .

Find the value of a and b so that x^4+x^3+8x^2+ax+b is divisible by x^2+1 .

Obtain all other zeroes of 3x^4+6x^3-2x^2-10x-5

Find the common factors of the given terms. 16x^3, -4x^2, 32x

Using properties of determinants, prove that |(x+y, x,x),(5x + 4y ,4x, 2x),(10x+8y,8x,3x)| = x^(3) .