Solve -7x^321x^23x - 9

Question

Simplify the expression

- 441 x^{6} - 9

Show Solution

- 9 (49 x^{6} + 1)

Show Solution

x_{1} = - \frac{6 64827}{14} + \frac{3 49}{14} i, x_{2} = \frac{6 64827}{14} - \frac{3 49}{14} i

Alternative Form

x_{1} \approx - 0.452722 + 0.261379 i, x_{2} \approx 0.452722 - 0.261379 i

Evaluate

- 7 x^{3} \times 21 x^{2} \times 3 x - 9

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

- 7 x^{3} \times 21 x^{2} \times 3 x - 9 = 0

Multiply

More Steps

- 441 x^{6} - 9 = 0

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

- 441 x^{6} = 0 + 9

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

- 441 x^{6} = 9

Change the signs on both sides of the equation

441 x^{6} = - 9

Divide both sides

\frac{441 x ^{6}}{441} = \frac{- 9}{441}

Divide the numbers

x^{6} = \frac{- 9}{441}

Divide the numbers

More Steps

x^{6} = - \frac{1}{49}

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

x = \pm 6 - \frac{1}{49}

Simplify the expression

More Steps

x = \pm (\frac{6 64827}{14} - \frac{3 49}{14} i)

Separate the equation into 2 possible cases

x = \frac{6 64827}{14} - \frac{3 49}{14} i x = - \frac{6 64827}{14} + \frac{3 49}{14} i

Solution

x_{1} = - \frac{6 64827}{14} + \frac{3 49}{14} i, x_{2} = \frac{6 64827}{14} - \frac{3 49}{14} i

Alternative Form

x_{1} \approx - 0.452722 + 0.261379 i, x_{2} \approx 0.452722 - 0.261379 i

Show Solution