Solve x^2+x5-x3+2=185

$${ x }^{ 2 } +x5-x3+2=185$$

Solve for x_3

$$x_{3}=x^{2}+x_{5}-183$$

Steps for Solving Linear Equation

Subtract x^{2} from both sides.

$$x_{5}-x_{3}+2=185-x^{2}$$

Subtract x_{5} from both sides.

$$-x_{3}+2=185-x^{2}-x_{5}$$

Subtract 2 from both sides.

$$-x_{3}=185-x^{2}-x_{5}-2$$

Subtract 2 from 185 to get 183.

$$-x_{3}=183-x^{2}-x_{5}$$

The equation is in standard form.

$$-x_{3}=183-x_{5}-x^{2}$$

Divide both sides by -1.

$$\frac{-x_{3}}{-1}=\frac{183-x_{5}-x^{2}}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x_{3}=\frac{183-x_{5}-x^{2}}{-1}$$

Divide 183-x^{2}-x_{5} by -1.

$$x_{3}=x^{2}+x_{5}-183$$

Solve for x (complex solution)

$$x=-\sqrt{x_{3}-x_{5}+183}$$

$$x=\sqrt{x_{3}-x_{5}+183}$$

Solve for x

$$x=\sqrt{x_{3}-x_{5}+183}$$

$$x=-\sqrt{x_{3}-x_{5}+183}\text{, }x_{5}\leq x_{3}+183$$