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-\(\frac{1}{2}\)
= 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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