What are the solutions to the equation x^3-3x^2-18x+54=0 ?

The solutions to the equation x^3-3x^2-18x+54=0 are x=3,x=-3sqrt(2),x=3sqrt(2)

Find the zeros of x^3-3x^2-18x+54=0

The zeros of x^3-3x^2-18x+54=0 are x=3,x=-3sqrt(2),x=3sqrt(2)

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x^{3} - 3 x^{2} - 18 x + 54 = 0

x = 3, x = - 32, x = 32

Decimal Notation

x = 3, x = - 4.24264 \dots, x = 4.24264 \dots

Solution steps

x^{3} - 3 x^{2} - 18 x + 54 = 0

Factor

x^{3} - 3 x^{2} - 18 x + 54 : (x - 3) (x + 32) (x - 32)

(x - 3) (x + 32) (x - 32) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 3 = 0 or x + 32 = 0 or x - 32 = 0

Solve

x - 3 = 0 : x = 3

Solve

x + 32 = 0 : x = - 32

Solve

x - 32 = 0 : x = 32

The solutions are

x = 3, x = - 32, x = 32

2 x^{3} - 8 x = 0

x^{6} = x^{4}

z^{4} + i = 0

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

(2 x + 1)^{3} = 100

What are the solutions to the equation x^3-3x^2-18x+54=0 ?
The solutions to the equation x^3-3x^2-18x+54=0 are x=3,x=-3sqrt(2),x=3sqrt(2)
Find the zeros of x^3-3x^2-18x+54=0
The zeros of x^3-3x^2-18x+54=0 are x=3,x=-3sqrt(2),x=3sqrt(2)