Solve -1-x^4/2-3x^2

$$- 1 - \frac { x ^ { 4 } } { 2 } - 3 x ^ { 2 }$$

Evaluate

$$-\frac{x^{4}}{2}-3x^{2}-1$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -1-3x^{2} times \frac{2}{2}.

$$\frac{2\left(-1-3x^{2}\right)}{2}-\frac{x^{4}}{2}$$

Since \frac{2\left(-1-3x^{2}\right)}{2} and \frac{x^{4}}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\left(-1-3x^{2}\right)-x^{4}}{2}$$

Do the multiplications in 2\left(-1-3x^{2}\right)-x^{4}.

$$\frac{-2-6x^{2}-x^{4}}{2}$$

Factor

$$-\frac{1}{2}\left(x^{2}-\left(-\sqrt{7}-3\right)\right)\left(x^{2}-\left(\sqrt{7}-3\right)\right)$$