What are the solutions to the equation x^3-10x^2+28x-24=0 ?

The solutions to the equation x^3-10x^2+28x-24=0 are x=2,x=6

Find the zeros of x^3-10x^2+28x-24=0

The zeros of x^3-10x^2+28x-24=0 are x=2,x=6

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x^{3} - 10 x^{2} + 28 x - 24 = 0

x = 2, x = 6

Solution steps

x^{3} - 10 x^{2} + 28 x - 24 = 0

Factor

x^{3} - 10 x^{2} + 28 x - 24 : (x - 2)^{2} (x - 6)

(x - 2)^{2} (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or x - 6 = 0

Solve

x - 2 = 0 : x = 2

Solve

x - 6 = 0 : x = 6

The solutions are

x = 2, x = 6

x^{3} - 3 x^{2} - 5 x + 15 = 0

5893 D^{5} + 0.02 D = 1.8

z^{3} - 8 i = 0

x^{2} x^{6} = 256

x^{4} - 27 x^{2} + 176 = 0

What are the solutions to the equation x^3-10x^2+28x-24=0 ?
The solutions to the equation x^3-10x^2+28x-24=0 are x=2,x=6
Find the zeros of x^3-10x^2+28x-24=0
The zeros of x^3-10x^2+28x-24=0 are x=2,x=6