﻿ The equation ex – 1 + x – 2 = 0 as  : Kaysons Education

# The Equation ex – 1 + x – 2 = 0 As

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## Question

### Solution

Correct option is

one real root

Clearly, x = 1 satisfies the given equation. Assume that (x) = ex – 1 + x – 2 = 0 has a real root α other than x = 1. We may suppose that

a > 1 (the case a < 1 is exactly similar). Applying Roll’s theorem on [1, α] (if α < 1 apply the theorem on [α, 1]), we get β

Which is not possible. Hence there is no real root other than 1.

#### SIMILAR QUESTIONS

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