Solve x^3 - 6x^2 + 11x - 6 = 0

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Example problems

Type your math problem... x^3 - 6x^2 + 11x - 6 = 0

Question

Solve the equation

x_{1} = 1, x_{2} = 2, x_{3} = 3

Evaluate

x^{3} - 6 x^{2} + 11 x - 6 = 0

Factor the expression

(x - 3) (x - 2) (x - 1) = 0

Separate the equation into 3 possible cases

x - 3 = 0 x - 2 = 0 x - 1 = 0

Solve the equation

More Steps

Evaluate

x - 3 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 3

Removing 0 doesn't change the value,so remove it from the expression

x = 3

x = 3 x - 2 = 0 x - 1 = 0

Solve the equation

More Steps

Evaluate

x - 2 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 2

Removing 0 doesn't change the value,so remove it from the expression

x = 2

x = 3 x = 2 x - 1 = 0

Solve the equation

More Steps

Evaluate

x - 1 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

x = 1

x = 3 x = 2 x = 1

Solution

x_{1} = 1, x_{2} = 2, x_{3} = 3

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