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

The solutions to the equation x^3-2x^2+3x=0 are x=0,x=1+sqrt(2)i,x=1-sqrt(2)i

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

The zeros of x^3-2x^2+3x=0 are x=0,x=1+sqrt(2)i,x=1-sqrt(2)i

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

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

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x^{2} - 2 x + 3 = 0 : x = 1 + 2 i, x = 1 - 2 i

The solutions are

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

m^{5} - 4 m^{4} + 4 m^{3} = 0

3 x^{6} - 39 x^{4} + 108 x^{2} = 0

16 x^{4} - 625 = 0

x^{4} - 6 x^{2} + 8 x - 3 = 0

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

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