Make 'n' the subject of the formula if w = ..

Question 1 Report

Make 'n' the subject of the formula if w = $\frac{v (2 + c n)}{1 - c n}$

\frac{1}{c} (\frac{w - 2 v}{v + w})

\frac{1}{c} (\frac{w - 2 v}{v - w})

\frac{1}{c} (\frac{w + 2 v}{v - w})

\frac{1}{c} (\frac{w + 2 v}{v + w})

Answer Details

w = $\frac{v (2 + c n)}{1 - c n}$
2v + cnv = w(1 - cn)
2v + cnv = w - cnw
2v - w = -cnv - cnw
Multiply through by negative sign
-2v + w = cnv + cnw
-2v + w = n(cv + cw)
n = $\frac{- 2 v + w}{c v + c w}$
n = $\frac{1}{c} \frac{- 2 v + w}{v + w}$
Re-arrange...
n = $\frac{1}{c} \frac{w - 2 v}{v + w}$

View Answer

Make 'n' the subject of the formula if w = v(2+cn)1-cn