Question
If, pĀ³ + qĀ³= 485 and (p + q = 5), then find the value
of [(1/p) + (1/q)]Solution
ATQ, We know that, (a + b)Ā³= aĀ³ + bĀ³ + 3ab Ć (a + b) So, (p + q)Ā³= pĀ³ + pĀ³ + 3pq Ć (p + q) Or, 5Ā³= 485 + 3 Ć pq Ć 5 Or, 15pq = 125 - 485 Or, pq = - (360/15) So, pq = - 24 (1/p) + (1/q) = (p + q)/pq = 5 Ć· ( - 24) = - (5/24)
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