Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The value of x in the expression (x + 
) 5 , if the third term in the expansion is 10,00,000, is-
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, c)
Put log 10 x = z
Then, given expression = (x + x z ) 5
Now, T 3 = 5 C 2 x 3 (x z ) 2 = 10x 3 + 2z = 10 6
∴ x 3 + 2z = 10 5
Taking log, we get (3 + 2z) log 10 x = 5 log 10 10
⇒ (3 + 2z) z = 5 or 2z 2 + 3z – 5 = 0
⇒ (z – 1) (2z + 5) = 0 ⇒ z = 1, – 
∴ log 10 x = 1 or – 
∴ x = 10 1 or 10 –5/2 .
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