What are the solutions to the equation -x^4+8x^3-18x^2=0 ?

The solutions to the equation -x^4+8x^3-18x^2=0 are x=0,x=4+sqrt(2)i,x=4-sqrt(2)i

Find the zeros of -x^4+8x^3-18x^2=0

The zeros of -x^4+8x^3-18x^2=0 are x=0,x=4+sqrt(2)i,x=4-sqrt(2)i

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- x^{4} + 8 x^{3} - 18 x^{2} = 0

x = 0, x = 4 + 2 i, x = 4 - 2 i

Solution steps

- x^{4} + 8 x^{3} - 18 x^{2} = 0

Factor

- x^{4} + 8 x^{3} - 18 x^{2} : - x^{2} (x^{2} - 8 x + 18)

- x^{2} (x^{2} - 8 x + 18) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} - 8 x + 18 = 0

Solve

x^{2} - 8 x + 18 = 0 : x = 4 + 2 i, x = 4 - 2 i

The solutions are

x = 0, x = 4 + 2 i, x = 4 - 2 i

- x^{3} + 10 x^{2} - 29 x + 20 = 0

69 = c^{3}

x^{4} + 8 x^{3} + 9 x^{2} - 28 x + 10 = 0

x^{50} = 0.01

x^{3} - 3 x^{2} - 44 x + 2222 = 5.88

What are the solutions to the equation -x^4+8x^3-18x^2=0 ?
The solutions to the equation -x^4+8x^3-18x^2=0 are x=0,x=4+sqrt(2)i,x=4-sqrt(2)i
Find the zeros of -x^4+8x^3-18x^2=0
The zeros of -x^4+8x^3-18x^2=0 are x=0,x=4+sqrt(2)i,x=4-sqrt(2)i