Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The equation e x–8 + 2x – 17 = 0 has-
Text Solution
Verified by ExpertsThe correct answer is:
B
Clearly x = 8 satisfies the given equation. Assume that
ƒ(x) = e x – 8 + 2x – 17 = 0 has a real root α other than x = 8. We may suppose that α > 8 (the case for α < 8 is exactly similar). Applying Rolle’s theorem on [8, α ], we get β ∈ (8, α ), such that ƒ ′ ( β ) = 0. But ƒ ′ ( β ) = e β – 8 + 2, So that e β – 8 = –2 which is not possible. Hence there is no real root other than 8.
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