Solve x^3 -8x 1 - ScanMath

Question

Simplify the expression

x^{3} - 8 x

Evaluate

x^{3} - 8 x \times 1

Solution

x^{3} - 8 x

Show Solution

x (x^{2} - 8)

Evaluate

x^{3} - 8 x \times 1

Multiply the terms

x^{3} - 8 x

Rewrite the expression

x \times x^{2} - x \times 8

Solution

x (x^{2} - 8)

Show Solution

x_{1} = - 22, x_{2} = 0, x_{3} = 22

Alternative Form

x_{1} \approx - 2.828427, x_{2} = 0, x_{3} \approx 2.828427

Evaluate

x^{3} - 8 x \times 1

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

x^{3} - 8 x \times 1 = 0

Multiply the terms

x^{3} - 8 x = 0

Factor the expression

x (x^{2} - 8) = 0

Separate the equation into 2 possible cases

x = 0 x^{2} - 8 = 0

Solve the equation

More Steps

Evaluate

x^{2} - 8 = 0

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

x^{2} = 0 + 8

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

x^{2} = 8

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 8

Simplify the expression

More Steps

Evaluate

8

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 2

Write the number in exponential form with the base of 2

2^{2} \times 2

The root of a product is equal to the product of the roots of each factor

2^{2} \times 2

Reduce the index of the radical and exponent with 2

22

x = \pm 22

Separate the equation into 2 possible cases

x = 22 x = - 22

x = 0 x = 22 x = - 22

Solution

x_{1} = - 22, x_{2} = 0, x_{3} = 22

Alternative Form

x_{1} \approx - 2.828427, x_{2} = 0, x_{3} \approx 2.828427

Show Solution