x^4-kx^3+kx^2+1=0

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Solution for x^4-kx^3+kx^2+1=0 equation:


Simplifying
x4 + -1kx3 + kx2 + 1 = 0

Reorder the terms:
1 + kx2 + -1kx3 + x4 = 0

Solving
1 + kx2 + -1kx3 + x4 = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + kx2 + -1kx3 + -1 + x4 = 0 + -1

Reorder the terms:
1 + -1 + kx2 + -1kx3 + x4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + kx2 + -1kx3 + x4 = 0 + -1
kx2 + -1kx3 + x4 = 0 + -1

Combine like terms: 0 + -1 = -1
kx2 + -1kx3 + x4 = -1

Add '-1x4' to each side of the equation.
kx2 + -1kx3 + x4 + -1x4 = -1 + -1x4

Combine like terms: x4 + -1x4 = 0
kx2 + -1kx3 + 0 = -1 + -1x4
kx2 + -1kx3 = -1 + -1x4

Reorder the terms:
1 + kx2 + -1kx3 + x4 = -1 + -1x4 + 1 + x4

Reorder the terms:
1 + kx2 + -1kx3 + x4 = -1 + 1 + -1x4 + x4

Combine like terms: -1 + 1 = 0
1 + kx2 + -1kx3 + x4 = 0 + -1x4 + x4
1 + kx2 + -1kx3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
1 + kx2 + -1kx3 + x4 = 0

The solution to this equation could not be determined.

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