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

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

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

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

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

x = - 1, x = \frac{3}{2} + i \frac{3}{2}, x = \frac{3}{2} - i \frac{3}{2}

Solution steps

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

Factor

x^{3} - 2 x^{2} + 3 : (x + 1) (x^{2} - 3 x + 3)

(x + 1) (x^{2} - 3 x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x^{2} - 3 x + 3 = 0

Solve

x + 1 = 0 : x = - 1

Solve

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

The solutions are

x = - 1, x = \frac{3}{2} + i \frac{3}{2}, x = \frac{3}{2} - i \frac{3}{2}

(8 + x)^{3} = 64

0 = 2 x^{(3)} + x^{(2)} + 2 x - 1

m^{3} = 125

5 x^{3} - 3 x - 1 = 0

16 x^{4} = 1048576

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