If b3 a-2 and c frac 1 3 a frac 1 2 b express c... - JAMB Mathematics 1998 Question
If b3 = a-2 and c\(\frac{1}{3}\) = a\(\frac{1}{2}\)b, express c in terms of a
A
a-\(\frac{1}{2}\)
B
a\(\frac{1}{3}\)
C
a\(\frac{3}{2}\)
D
a\(\frac{2}{3}\)
correct option: a
c(\frac{1}{3}) = a(\frac{1}{2})b
= a(\frac{1}{2})b x a-2
= a-(\frac{3}{2})
= (c(\frac{1}{3}))3
= (a-(\frac{3}{2}))(\frac{1}{3})
c = a-(\frac{1}{2})
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