Make R the subject of the fomula S = √2R+T2RT

Assessment: JAMB UTME - Mathematics - 1989 Subject: General Mathematics

Question 1 Report

Make R the subject of the fomula S = $\sqrt{\frac{2 R + T}{2 R T}}$

R =

\frac{T}{(T S^{2} + 1)}

R =

\frac{T}{(T S^{2} + 1)}

R =

\frac{T}{2 (T S^{2} + 1)}

R =

\frac{R}{2 (T S^{2} + 1)}

Answer Details

S = $\sqrt{\frac{2 R + T}{2 R T}}$
squaring both sides = S2 = $\frac{2 R + T}{2 R T}$
S2(2RT) = 2R + T
2S2RT - 2R = T
R(2S2T - 2) = T
R = R = $\frac{T}{2 (T S^{2} - 2)}$

Read lesson note on Change Of Subject Of A Formula/Relation (WAEC)

Read lesson note on Algebraic Expressions (WAEC)

Change Of Subject Of A Formula/Relation

Algebraic Expressions

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