Solve sigma=(x-2)(x+2)

$$\sigma = ( x - 2 ) ( x + 2 )$$

Solve for σ

$$\sigma =x^{2}-4$$

Solution Steps

Consider \left(x-2\right)\left(x+2\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 2.

$$\sigma =x^{2}-4$$

Solve for x (complex solution)

$$x=-\sqrt{\sigma +4}$$

$$x=\sqrt{\sigma +4}$$

Solve for x

$$x=\sqrt{\sigma +4}$$

$$x=-\sqrt{\sigma +4}\text{, }\sigma \geq -4$$