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Popular >

x^2e^x-6xe^x-7e^x=0

Solution

x^{2} e^{x} - 6 x e^{x} - 7 e^{x} = 0

Solution

x = - 1, x = 7

Solution steps

x^{2} e^{x} - 6 x e^{x} - 7 e^{x} = 0

Factor

x^{2} e^{x} - 6 x e^{x} - 7 e^{x} : e^{x} (x + 1) (x - 7)

e^{x} (x + 1) (x - 7) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

e^{x} = 0 or x + 1 = 0 or x - 7 = 0

Solve

e^{x} = 0 :

No Solution for

x \in R

Solve

x + 1 = 0 : x = - 1

Solve

x - 7 = 0 : x = 7

x = - 1, x = 7

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2 (1 + 0.1275)^{x} = (1 + 0.1375)^{x}

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2^{x} + 2^{x} = 2^{x + 1}

5^{x+1}=3^{x+2}

5^{x + 1} = 3^{x + 2}

15^{-x+2}=11^{-7x}

1 5^{- x + 2} = 1 1^{- 7 x}

9 = 2^{t}

Frequently Asked Questions (FAQ)

What is the answer to x^2e^x-6xe^x-7e^x=0 ?
The answer to x^2e^x-6xe^x-7e^x=0 is x=-1,x=7