Solve D^45+2104014

Question

Simplify the expression

5 D^{4} + 2104014

Show Solution

D_{1} = - \frac{4 1052007000}{10} - \frac{4 1052007000}{10} i, D_{2} = \frac{4 1052007000}{10} + \frac{4 1052007000}{10} i

Alternative Form

D_{1} \approx - 18.009624 - 18.009624 i, D_{2} \approx 18.009624 + 18.009624 i

Evaluate

D^{4} \times 5 + 2104014

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

D^{4} \times 5 + 2104014 = 0

Use the commutative property to reorder the terms

5 D^{4} + 2104014 = 0

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

5 D^{4} = 0 - 2104014

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

5 D^{4} = - 2104014

Divide both sides

\frac{5 D ^{4}}{5} = \frac{- 2104014}{5}

Divide the numbers

D^{4} = \frac{- 2104014}{5}

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

D^{4} = - \frac{2104014}{5}

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

D = \pm 4 - \frac{2104014}{5}

Simplify the expression

More Steps

D = \pm (\frac{4 1052007000}{10} + \frac{4 1052007000}{10} i)

Separate the equation into 2 possible cases

D = \frac{4 1052007000}{10} + \frac{4 1052007000}{10} i D = - \frac{4 1052007000}{10} - \frac{4 1052007000}{10} i

Solution

D_{1} = - \frac{4 1052007000}{10} - \frac{4 1052007000}{10} i, D_{2} = \frac{4 1052007000}{10} + \frac{4 1052007000}{10} i

Alternative Form

D_{1} \approx - 18.009624 - 18.009624 i, D_{2} \approx 18.009624 + 18.009624 i

Show Solution