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Popular >

(e^xx-e^x)/(x^2)=0

Solution

\frac{e ^{x} x - e ^{x}}{x ^{2}} = 0

Solution

x = 1

Solution steps

\frac{e ^{x} x - e ^{x}}{x ^{2}} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

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

Factor

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

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

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

Solve

e^{x} = 0 :

No Solution for

x \in R

Solve

x - 1 = 0 : x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

Popular Examples

3^{x - 1} - 2 = 25

e^{x + 1} + 1 = 32

((-9)^x)^{-9}=1

((- 9)^{x})^{- 9} = 1

e^{6 l n (x)} = 64

3^{-x}= 1/(6-4x)

3^{- x} = \frac{1}{6 - 4 x}

Frequently Asked Questions (FAQ)

What is the answer to (e^xx-e^x)/(x^2)=0 ?
The answer to (e^xx-e^x)/(x^2)=0 is x=1