What are the solutions to the equation x^3-10x^2+32x-32=0 ?

The solutions to the equation x^3-10x^2+32x-32=0 are x=2,x=4

Find the zeros of x^3-10x^2+32x-32=0

The zeros of x^3-10x^2+32x-32=0 are x=2,x=4

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x^{3} - 10 x^{2} + 32 x - 32 = 0

x = 2, x = 4

Solution steps

x^{3} - 10 x^{2} + 32 x - 32 = 0

Factor

x^{3} - 10 x^{2} + 32 x - 32 : (x - 2) (x - 4)^{2}

(x - 2) (x - 4)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or x - 4 = 0

Solve

x - 2 = 0 : x = 2

Solve

x - 4 = 0 : x = 4

The solutions are

x = 2, x = 4

x^{6} - 8 x^{3} = 0

x^{4} + 15 x^{2} + 54 = 0

4 x^{4} - 28 x^{3} + 61 x^{2} - 42 x + 9 = 0

16 x^{4} - 52 x^{2} + 36 = 0

x^{3} + x^{2} + 4 x + 4

What are the solutions to the equation x^3-10x^2+32x-32=0 ?
The solutions to the equation x^3-10x^2+32x-32=0 are x=2,x=4
Find the zeros of x^3-10x^2+32x-32=0
The zeros of x^3-10x^2+32x-32=0 are x=2,x=4