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Popular >

-xe^{-x}+9e^{-x}=0

Solution

- x e^{- x} + 9 e^{- x} = 0

Solution

x = 9

Solution steps

- x e^{- x} + 9 e^{- x} = 0

Factor

e^{- x} (- x + 9) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

e^{- x} = 0 or - x + 9 = 0

Solve

e^{- x} = 0 :

No Solution for

x \in R

Solve

- x + 9 = 0 : x = 9

x = 9

Popular Examples

e^{-36x}-e^{-39x}=0.025e^{-33x}

e^{- 36 x} - e^{- 39 x} = 0.025 e^{- 33 x}

9\times e^{2z}=54

9 \times e^{2 z} = 54

log_{2}(5^{2x}+3)=5

lo g_{2} (5^{2 x} + 3) = 5

5 e^{x} - 2 e^{2 x} = 0

solvefor y,xy-e^x+e^y=0 solve for

y, x y - e^{x} + e^{y} = 0

Frequently Asked Questions (FAQ)

What is the answer to -xe^{-x}+9e^{-x}=0 ?
The answer to -xe^{-x}+9e^{-x}=0 is x=9