Solve 2d^4+2 - ScanMath

Evaluate

2 d^{4} + 2

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

2 d^{4} + 2 = 0

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

2 d^{4} = 0 - 2

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

2 d^{4} = - 2

Divide both sides

\frac{2 d ^{4}}{2} = \frac{- 2}{2}

Divide the numbers

d^{4} = \frac{- 2}{2}

Divide the numbers

More Steps

d^{4} = - 1

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

d = \pm 4 - 1

Simplify the expression

More Steps

d = \pm (\frac{2}{2} + \frac{2}{2} i)

Separate the equation into 2 possible cases

d = \frac{2}{2} + \frac{2}{2} i d = - \frac{2}{2} - \frac{2}{2} i

Solution

d_{1} = - \frac{2}{2} - \frac{2}{2} i, d_{2} = \frac{2}{2} + \frac{2}{2} i

Alternative Form

d_{1} \approx - 0.707107 - 0.707107 i, d_{2} \approx 0.707107 + 0.707107 i

2d^4+2