Make S the subject of the relation p = s + sm²/nr

Correct Answer is : s = nrpnr+m2nrp/nr + m²nr+m2nrp

Correct Answer is : s = nrpnr+m2nrp/nr + m²nr+m2nrp

Test Index

JAMB Mathematics 2017 Paper

Question : 37

Total: 44

\frac{sm^2}{nr}

Solution:

Concept:

Factorize both terms containing

s

, then isolate

s

by dividing with the remaining factor.

Explanation:

Start with:

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

Factor out

s

on the right-hand side:

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

Write

1

\frac{nr}{nr}

and combine the terms inside the bracket:

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

Multiply both sides by

nr

nrp = s(nr + m^2)

Divide both sides by

(nr + m^2)

to make

s

the subject:

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

Answer:

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

This matches option A.

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