Solve 8-5x 10x^210x

Question

Simplify the expression

8 - 500 x^{4}

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4 (2 - 125 x^{4})

Show Solution

x_{1} = - \frac{4 10}{5}, x_{2} = \frac{4 10}{5}

Alternative Form

x_{1} \approx - 0.355656, x_{2} \approx 0.355656

Evaluate

8 - 5 x \times 10 x^{2} \times 10 x

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

8 - 5 x \times 10 x^{2} \times 10 x = 0

Multiply

More Steps

8 - 500 x^{4} = 0

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

- 500 x^{4} = 0 - 8

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

- 500 x^{4} = - 8

Change the signs on both sides of the equation

500 x^{4} = 8

Divide both sides

\frac{500 x ^{4}}{500} = \frac{8}{500}

Divide the numbers

x^{4} = \frac{8}{500}

Cancel out the common factor 4

x^{4} = \frac{2}{125}

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

x = \pm 4 \frac{2}{125}

Simplify the expression

More Steps

x = \pm \frac{4 10}{5}

Separate the equation into 2 possible cases

x = \frac{4 10}{5} x = - \frac{4 10}{5}

Solution

x_{1} = - \frac{4 10}{5}, x_{2} = \frac{4 10}{5}

Alternative Form

x_{1} \approx - 0.355656, x_{2} \approx 0.355656

Show Solution