Solve x^35x^22x - 8

Question

Simplify the expression

10 x^{6} - 8

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2 (5 x^{6} - 4)

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x_{1} = - \frac{6 12500}{5}, x_{2} = \frac{6 12500}{5}

Alternative Form

x_{1} \approx - 0.963492, x_{2} \approx 0.963492

Evaluate

x^{3} \times 5 x^{2} \times 2 x - 8

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

x^{3} \times 5 x^{2} \times 2 x - 8 = 0

Multiply

More Steps

10 x^{6} - 8 = 0

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

10 x^{6} = 0 + 8

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

10 x^{6} = 8

Divide both sides

\frac{10 x ^{6}}{10} = \frac{8}{10}

Divide the numbers

x^{6} = \frac{8}{10}

Cancel out the common factor 2

x^{6} = \frac{4}{5}

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

x = \pm 6 \frac{4}{5}

Simplify the expression

More Steps

x = \pm \frac{6 12500}{5}

Separate the equation into 2 possible cases

x = \frac{6 12500}{5} x = - \frac{6 12500}{5}

Solution

x_{1} = - \frac{6 12500}{5}, x_{2} = \frac{6 12500}{5}

Alternative Form

x_{1} \approx - 0.963492, x_{2} \approx 0.963492

Show Solution