Make n the subject of the formula if w frac v 2... - JAMB Mathematics 2012 Question
Make 'n' the subject of the formula if w = (\frac{v(2 + cn)}{1 - cn})
A
\(\frac{1}{c}(\frac{w - 2v}{v + w})\)
B
\(\frac{1}{c}(\frac{w - 2v}{v - w})\)
C
\(\frac{1}{c}(\frac{w + 2v}{v - w})\)
D
\(\frac{1}{c}(\frac{w + 2v}{v + w})\)
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Correct Option: A
w = (\frac{v(2 + cn)}{1 - cn})
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{-2v + w}{cv + cw})
n = (\frac{1}{c}\frac{-2v + w}{v + w})
Re-arrange...
n = (\frac{1}{c}\frac{w - 2v}{v + w})
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