Solve 8-2x^5x - ScanMath

Question

Simplify the expression

8 - 2 x^{6}

Evaluate

8 - 2 x^{5} \times x

Solution

More Steps

Evaluate

2 x^{5} \times x

Multiply the terms with the same base by adding their exponents

2 x^{5 + 1}

Add the numbers

2 x^{6}

8 - 2 x^{6}

Show Solution

2 (2 - x^{3}) (2 + x^{3})

Evaluate

8 - 2 x^{5} \times x

Evaluate

More Steps

Evaluate

2 x^{5} \times x

Multiply the terms with the same base by adding their exponents

2 x^{5 + 1}

Add the numbers

2 x^{6}

8 - 2 x^{6}

Factor out 2 from the expression

2 (4 - x^{6})

Solution

More Steps

Evaluate

4 - x^{6}

Rewrite the expression in exponential form

2^{2} - (x^{3})^{2}

Use a^{2} - b^{2} = (a - b) (a + b) to factor the expression

(2 - x^{3}) (2 + x^{3})

2 (2 - x^{3}) (2 + x^{3})

Show Solution

x_{1} = - 32, x_{2} = 32

Alternative Form

x_{1} \approx - 1.259921, x_{2} \approx 1.259921

Evaluate

8 - 2 x^{5} \times x

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

8 - 2 x^{5} \times x = 0

Multiply

More Steps

Multiply the terms

2 x^{5} \times x

Multiply the terms with the same base by adding their exponents

2 x^{5 + 1}

Add the numbers

2 x^{6}

8 - 2 x^{6} = 0

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

- 2 x^{6} = 0 - 8

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

- 2 x^{6} = - 8

Change the signs on both sides of the equation

2 x^{6} = 8

Divide both sides

\frac{2 x ^{6}}{2} = \frac{8}{2}

Divide the numbers

x^{6} = \frac{8}{2}

Divide the numbers

More Steps

Evaluate

\frac{8}{2}

Reduce the numbers

\frac{4}{1}

Calculate

4

x^{6} = 4

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

x = \pm 64

Simplify the expression

More Steps

Evaluate

64

Write the number in exponential form with the base of 2

6 2^{2}

Reduce the index of the radical and exponent with 2

32

x = \pm 32

Separate the equation into 2 possible cases

x = 32 x = - 32

Solution

x_{1} = - 32, x_{2} = 32

Alternative Form

x_{1} \approx - 1.259921, x_{2} \approx 1.259921

Show Solution