Question
If 15a2 + 1 = 20a, then find the value of
{(9a2 + 1)/25a2}Solution
15a2 + 1 = 20aDivide both sides by 5a,So, (15a2/5a) + (1/5a) = (20a/5a)Or, 3a + (1/5a) = 4Or, {3a + (1/5a) }2 = 42Or, 9a2 + (1/25a2) + 2 X (3a) X (1/5a) = 16Or, 9a2 + (1/25a2) + (6/5) = 16Or, 9a2 + (1/25a2) = 16 - (6/5)Or, 9a2 + (1/25a2) = (74/5)
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