# Solving for variables

1. Nov 23, 2004

### zekester

i have an equation ((r^2)*(-i/(w*c)))+(r/(w*c))
divided by (r^2) + (1/(wc)^2)
equals -951 - (i*13026)

where i is the square root of negative one and w is known. How do I get two equations to solve for both c and r.

2. Nov 23, 2004

### arildno

Assuming "r" and "c" to be real numbers, equate the real parts in your equation, and the imaginary parts in your equation:
$$\frac{\frac{r}{wc}}{r^{2}+\frac{1}{(wc)^{2}}}=-951$$
And:
$$-\frac{\frac{r^{2}}{wc}}{r^{2}+\frac{1}{(wc)^{2}}}=-13026$$

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