Solve 447-401-48-0-7x^45

Question

Simplify the expression

- 2 - 35 x^{4}

Show Solution

x_{1} = - \frac{4 343000}{70} - \frac{4 343000}{70} i, x_{2} = \frac{4 343000}{70} + \frac{4 343000}{70} i

Alternative Form

x_{1} \approx - 0.345721 - 0.345721 i, x_{2} \approx 0.345721 + 0.345721 i

Evaluate

447 - 401 - 48 - 0 - 7 x^{4} \times 5

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

447 - 401 - 48 - 0 - 7 x^{4} \times 5 = 0

Subtract the numbers

46 - 48 - 0 - 7 x^{4} \times 5 = 0

Subtract the numbers

- 2 - 0 - 7 x^{4} \times 5 = 0

Multiply the terms

- 2 - 0 - 35 x^{4} = 0

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

- 2 - 35 x^{4} = 0

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

- 35 x^{4} = 0 + 2

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

- 35 x^{4} = 2

Change the signs on both sides of the equation

35 x^{4} = - 2

Divide both sides

\frac{35 x ^{4}}{35} = \frac{- 2}{35}

Divide the numbers

x^{4} = \frac{- 2}{35}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x^{4} = - \frac{2}{35}

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

x = \pm 4 - \frac{2}{35}

Simplify the expression

More Steps

x = \pm (\frac{4 343000}{70} + \frac{4 343000}{70} i)

Separate the equation into 2 possible cases

x = \frac{4 343000}{70} + \frac{4 343000}{70} i x = - \frac{4 343000}{70} - \frac{4 343000}{70} i

Solution

x_{1} = - \frac{4 343000}{70} - \frac{4 343000}{70} i, x_{2} = \frac{4 343000}{70} + \frac{4 343000}{70} i

Alternative Form

x_{1} \approx - 0.345721 - 0.345721 i, x_{2} \approx 0.345721 + 0.345721 i

Show Solution