What is the answer to e^xx^2-2e^x=0 ?

The answer to e^xx^2-2e^x=0 is x=-sqrt(2),x=sqrt(2)

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e^xx^2-2e^x=0

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

x = - 2, x = 2

Decimal Notation

x = - 1.41421 \dots, x = 1.41421 \dots

Solution steps

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

Factor

e^{x} (x + 2) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

e^{x} = 0 or x + 2 = 0 or x - 2 = 0

Solve

e^{x} = 0 :

No Solution for

x \in R

Solve

x + 2 = 0 : x = - 2

Solve

x - 2 = 0 : x = 2

x = - 2, x = 2

(2^{2})^{3} = 8^{x}

5 e^{6 x} = 31

2^{2 x + 3} - 9 \cdot 2^{x} + 1 = 0

2 e^{3 x + 8} - 11 e^{5 - 10 x} = 0

15 = 10 (3^{(4 x - 10)}) - 25

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