Solve the equation w=Cr^-2. Solve for r

2. Originally Posted by broncosfan1
Solve the equation w=Cr^-2. Solve for r
w=Cr^-2
r^-2=w/c
r^2=c/w
r=+-(c/w)^(1/2) [that is plus minus square root of c/w]

3. Originally Posted by broncosfan1
Solve the equation w=Cr^-2. Solve for r
$w=Cr^{-2}$

This is equivalent to:

$w= \frac{C}{r^2}$

Multiply both sides by $r^2$:

$wr^2 = C$

Divide both sides by $w$:

$r^2 = \frac{C}{w}$

Square root both sides:

$r = \pm\sqrt{\frac{C}{w}}$