What are the solutions to the equation x^4-2x^3+5x^2=0 ?

The solutions to the equation x^4-2x^3+5x^2=0 are x=0,x=1+2i,x=1-2i

Find the zeros of x^4-2x^3+5x^2=0

The zeros of x^4-2x^3+5x^2=0 are x=0,x=1+2i,x=1-2i

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x^{4} - 2 x^{3} + 5 x^{2} = 0

x = 0, x = 1 + 2 i, x = 1 - 2 i

Solution steps

x^{4} - 2 x^{3} + 5 x^{2} = 0

Factor

x^{4} - 2 x^{3} + 5 x^{2} : x^{2} (x^{2} - 2 x + 5)

x^{2} (x^{2} - 2 x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} - 2 x + 5 = 0

Solve

x^{2} - 2 x + 5 = 0 : x = 1 + 2 i, x = 1 - 2 i

The solutions are

x = 0, x = 1 + 2 i, x = 1 - 2 i

- x^{3} + 18 x^{2} - 99 x + 162 = 0

6 x^{5} - 11 x^{4} - 11 x + 6 = 0

x^{3} - 2 x^{2} - x + 3 = 0

x^{3} + x^{2} - 17 x + 15 = 0

y^{3} - y^{2} + y - 1 = 0

What are the solutions to the equation x^4-2x^3+5x^2=0 ?
The solutions to the equation x^4-2x^3+5x^2=0 are x=0,x=1+2i,x=1-2i
Find the zeros of x^4-2x^3+5x^2=0
The zeros of x^4-2x^3+5x^2=0 are x=0,x=1+2i,x=1-2i