What is the answer to |x^3-6x^2+11x-6|=6 ?

The answer to |x^3-6x^2+11x-6|=6 is x=0\lor x=4

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|x^3-6x^2+11x-6|=6

x^{3} - 6 x^{2} + 11 x - 6 = 6

x = 0 or x = 4

Solution steps

x^{3} - 6 x^{2} + 11 x - 6 = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{3} - 6 x^{2} + 11 x - 6 = - 6 or x^{3} - 6 x^{2} + 11 x - 6 = 6

x^{3} - 6 x^{2} + 11 x - 6 = - 6 or x^{3} - 6 x^{2} + 11 x - 6 = 6

x = 0 or x = 4

10 - ∣ x + 1 ∣ = 5

2 x - x^{2} - 3 x = 1

x^{2} - 2 + ∣ x - 1 ∣ = x^{2} - x - 1

∣ x - 3 ∣ - ∣ 2 x - 5 ∣ = 0

\frac{1}{2} x - \frac{2}{3} - 1 = \frac{1}{6}

What is the answer to |x^3-6x^2+11x-6|=6 ?
The answer to |x^3-6x^2+11x-6|=6 is x=0\lor x=4
Solve for x: |x^3-6x^2+11x-6|=6
The solution is x=0\lor x=4