Solve 5*2 - 15 x x^22 x - 15

Question

Simplify the expression

- 5 - 30 x^{4}

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- 5 (1 + 6 x^{4})

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x_{1} = - \frac{4 54}{6} + \frac{4 54}{6} i, x_{2} = \frac{4 54}{6} - \frac{4 54}{6} i

Alternative Form

x_{1} \approx - 0.451801 + 0.451801 i, x_{2} \approx 0.451801 - 0.451801 i

Evaluate

5 \times 2 - 15 x \times x^{2} \times 2 x - 15

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

5 \times 2 - 15 x \times x^{2} \times 2 x - 15 = 0

Multiply the numbers

10 - 15 x \times x^{2} \times 2 x - 15 = 0

Multiply

More Steps

10 - 30 x^{4} - 15 = 0

Subtract the numbers

- 5 - 30 x^{4} = 0

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

- 30 x^{4} = 0 + 5

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

- 30 x^{4} = 5

Change the signs on both sides of the equation

30 x^{4} = - 5

Divide both sides

\frac{30 x ^{4}}{30} = \frac{- 5}{30}

Divide the numbers

x^{4} = \frac{- 5}{30}

Divide the numbers

More Steps

x^{4} = - \frac{1}{6}

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

x = \pm 4 - \frac{1}{6}

Simplify the expression

More Steps

x = \pm (\frac{4 54}{6} - \frac{4 54}{6} i)

Separate the equation into 2 possible cases

x = \frac{4 54}{6} - \frac{4 54}{6} i x = - \frac{4 54}{6} + \frac{4 54}{6} i

Solution

x_{1} = - \frac{4 54}{6} + \frac{4 54}{6} i, x_{2} = \frac{4 54}{6} - \frac{4 54}{6} i

Alternative Form

x_{1} \approx - 0.451801 + 0.451801 i, x_{2} \approx 0.451801 - 0.451801 i

Show Solution