Solve 2+2x^4 - ScanMath

Evaluate

2 + 2 x^{4}

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

2 + 2 x^{4} = 0

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

2 x^{4} = 0 - 2

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

2 x^{4} = - 2

Divide both sides

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

Divide the numbers

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

Divide the numbers

More Steps

x^{4} = - 1

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

x = \pm 4 - 1

Simplify the expression

More Steps

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

Separate the equation into 2 possible cases

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

Solution

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

Alternative Form

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

Factor the expression