JAMB - Mathematics (2017 - No. 37)

Make S the subject of the relation
p = s + \(\frac{sm^2}{nr}\)
s = \(\frac{nrp}{nr + m^2}\)
s = nr + \(\frac{m^2}{mrp}\)
s = \(\frac{nrp}{mr}\) + m2
s = \(\frac{nrp}{nr}\) + m2

Explanation

p = s + \(\frac{sm^2}{nr}\)

p = s + ( 1 + \(\frac{m^2}{nr}\))

p = s (1 + \(\frac{nr + m^2}{nr}\))

nr × p = s (nr + m2)

s = \(\frac{nrp}{nr + m^2}\)

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