Question
If A = (7)1/3 + (7) -1/3, then the
value of {3A3 – 9A} will be:Solution
A = (7)1/3 + (7) -1/3, Cubing both side A3 = 7 + (1/7) + 3 × (7)1/3 × (7) -1/3 × {(7)1/3 + (7) -1/3} Or, A3 = 7 + (1/7) + 3A Or, A3 – 3A = 50/7 And, 3A3 – 9A = (50 × 3)/7 = 150/7
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