Solve 15 + (3x^4)

Evaluate

15 + (3 x^{4})

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

15 + (3 x^{4}) = 0

Multiply the terms

15 + 3 x^{4} = 0

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

3 x^{4} = 0 - 15

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

3 x^{4} = - 15

Divide both sides

\frac{3 x ^{4}}{3} = \frac{- 15}{3}

Divide the numbers

x^{4} = \frac{- 15}{3}

Divide the numbers

More Steps

x^{4} = - 5

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

x = \pm 4 - 5

Simplify the expression

More Steps

x = \pm (\frac{4 20}{2} + \frac{4 20}{2} i)

Separate the equation into 2 possible cases

x = \frac{4 20}{2} + \frac{4 20}{2} i x = - \frac{4 20}{2} - \frac{4 20}{2} i

Solution

x_{1} = - \frac{4 20}{2} - \frac{4 20}{2} i, x_{2} = \frac{4 20}{2} + \frac{4 20}{2} i

Alternative Form

x_{1} \approx - 1.057371 - 1.057371 i, x_{2} \approx 1.057371 + 1.057371 i

Factor the expression