What are the solutions to the equation 2x^3-10x^2+16x-12=0 ?

The solutions to the equation 2x^3-10x^2+16x-12=0 are x=3,x=1+i,x=1-i

Find the zeros of 2x^3-10x^2+16x-12=0

The zeros of 2x^3-10x^2+16x-12=0 are x=3,x=1+i,x=1-i

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2 x^{3} - 10 x^{2} + 16 x - 12 = 0

x = 3, x = 1 + i, x = 1 - i

Solution steps

2 x^{3} - 10 x^{2} + 16 x - 12 = 0

Factor

2 x^{3} - 10 x^{2} + 16 x - 12 : 2 (x - 3) (x^{2} - 2 x + 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 3 = 0 : x = 3

Solve

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

The solutions are

x = 3, x = 1 + i, x = 1 - i

x^{10} - 33 x^{5} + 32 = 0

\frac{1}{2} x^{3} - x = 0

x^{3} + x + 10 = 0

x^{6} - 28 x^{3} + 27 = 0

x^{6} = 8

What are the solutions to the equation 2x^3-10x^2+16x-12=0 ?
The solutions to the equation 2x^3-10x^2+16x-12=0 are x=3,x=1+i,x=1-i
Find the zeros of 2x^3-10x^2+16x-12=0
The zeros of 2x^3-10x^2+16x-12=0 are x=3,x=1+i,x=1-i