Solve x^3 -2x^2 x - 2

Question

Simplify the expression

- x^{3} - 2

Evaluate

x^{3} - 2 x^{2} \times x - 2

Multiply

More Steps

Multiply the terms

- 2 x^{2} \times x

Multiply the terms with the same base by adding their exponents

- 2 x^{2 + 1}

Add the numbers

- 2 x^{3}

x^{3} - 2 x^{3} - 2

Solution

More Steps

Evaluate

x^{3} - 2 x^{3}

Collect like terms by calculating the sum or difference of their coefficients

(1 - 2) x^{3}

Subtract the numbers

- x^{3}

- x^{3} - 2

Show Solution

x = - 32

Alternative Form

x \approx - 1.259921

Evaluate

x^{3} - 2 x^{2} \times x - 2

To find the roots of the expression,set the expression equal to 0

x^{3} - 2 x^{2} \times x - 2 = 0

Multiply

More Steps

Multiply the terms

2 x^{2} \times x

Multiply the terms with the same base by adding their exponents

2 x^{2 + 1}

Add the numbers

2 x^{3}

x^{3} - 2 x^{3} - 2 = 0

Subtract the terms

More Steps

Simplify

x^{3} - 2 x^{3}

Collect like terms by calculating the sum or difference of their coefficients

(1 - 2) x^{3}

Subtract the numbers

- x^{3}

- x^{3} - 2 = 0

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

- x^{3} = 0 + 2

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

- x^{3} = 2

Change the signs on both sides of the equation

x^{3} = - 2

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 - 2

Calculate

x = 3 - 2

Solution

x = - 32

Alternative Form

x \approx - 1.259921

Show Solution