2012
Mathematics
JAMB
Make 'n' the subject of the formula if w = v(2+cn)/(1−cn)
A.
1/c(w−2/vv+w)
B.
1/c(w−2/vv−w)
C.
1/c(w+2/vv−w)
D.
1/c(w+2/vv+w)
Correct Answer: 1/c(w−2/vv+w)
Explanation
w = 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 = −(2v+w)/(cv+cw) n = 1/c(−2v+w/v+w) Re-arrange... n = 1/c(w−2v/v+w)
w = 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 = −(2v+w)/(cv+cw) n = 1/c(−2v+w/v+w) Re-arrange... n = 1/c(w−2v/v+w)THIS WEEK's
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