en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-e^{1-x}x+e^{1-x}=0

Solution

- e^{1 - x} x + e^{1 - x} = 0

Solution

x = 1

Solution steps

- e^{1 - x} x + e^{1 - x} = 0

Factor

- e^{1 - x} x + e^{1 - x} : e^{1 - x} (- x + 1)

e^{1 - x} (- x + 1) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

e^{1 - x} = 0 or - x + 1 = 0

Solve

e^{1 - x} = 0 :

No Solution for

x \in R

Solve

- x + 1 = 0 : x = 1

x = 1

Popular Examples

2 \cdot 3^{x} + 3^{x} = 81

(\frac{1}{3})^{5 x} = 243

3 \cdot 5^{x} = 7 \cdot 2 9^{x}

9^{x} = e^{x + 4}

(2^x)^2-5(2^x)+4=0

(2^{x})^{2} - 5 (2^{x}) + 4 = 0

Frequently Asked Questions (FAQ)

What is the answer to -e^{1-x}x+e^{1-x}=0 ?
The answer to -e^{1-x}x+e^{1-x}=0 is x=1