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

Correct Answer is : 1c(w−2vv+w)1/c≤ft(w-2v/v+w)c1(v+ww−2v)

Correct Answer is : 1c(w−2vv+w)1/c≤ft(w-2v/v+w)c1(v+ww−2v)

Test Index

JAMB Mathematics 2012 Paper

Question : 10

Total: 48

\frac{v(2+cn)}{1-cn}

Solution:

Concept:

Rearranging a rational equation by cross-multiplication and factoring to isolate

n

Explanation:

Given

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

Multiply both sides by

(1-cn)

w(1-cn) = v(2+cn)

Expand both sides:

w - cnw = 2v + cnv

Move terms containing

n

to one side and all other terms to the other side:

w - 2v = cnv + cnw

Factor out

n

from the right-hand side:

w - 2v = n(cv + cw)

Divide both sides by

(cv + cw)

n = \frac{w - 2v}{cv + cw}

Since

cv + cw = c(v+w)

, simplify to:

n = \frac{1}{c}\left(\frac{w - 2v}{v+w}\right)

Answer:

Option A:

n = \frac{1}{c}\left(\frac{w-2v}{v+w}\right)

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