Solve -(x^4)^2-3 - ScanMath

Evaluate

- (x^{4})^{2} - 3

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

- (x^{4})^{2} - 3 = 0

Evaluate the power

More Steps

- x^{8} - 3 = 0

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

- x^{8} = 0 + 3

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

- x^{8} = 3

Change the signs on both sides of the equation

x^{8} = - 3

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

x = \pm 8 - 3

Simplify the expression

More Steps

x = \pm \frac{8 204 + 144 2}{2} + \frac{8 204 - 144 2}{2} i

Separate the equation into 2 possible cases

x = \frac{8 204 + 144 2}{2} + \frac{8 204 - 144 2}{2} i x = - \frac{8 204 + 144 2}{2} - \frac{8 204 - 144 2}{2} i

Solution

x_{1} = - \frac{8 204 + 144 2}{2} - \frac{8 204 - 144 2}{2} i, x_{2} = \frac{8 204 + 144 2}{2} + \frac{8 204 - 144 2}{2} i

Alternative Form

x_{1} \approx - 1.059877 - 0.439015 i, x_{2} \approx 1.059877 + 0.439015 i

Simplify the expression