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Popular >

2xe^x+e^x(x^2-3)=0

Solution

2 x e^{x} + e^{x} (x^{2} - 3) = 0

Solution

x = 1, x = - 3

Solution steps

2 x e^{x} + e^{x} (x^{2} - 3) = 0

Factor

2 x e^{x} + e^{x} (x^{2} - 3) : e^{x} (x - 1) (x + 3)

e^{x} (x - 1) (x + 3) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

e^{x} = 0 or x - 1 = 0 or x + 3 = 0

Solve

e^{x} = 0 :

No Solution for

x \in R

Solve

x - 1 = 0 : x = 1

Solve

x + 3 = 0 : x = - 3

x = 1, x = - 3

Popular Examples

e^{2x}=3e^{-1/4 x}

e^{2 x} = 3 e^{- \frac{1}{4} x}

(a^{20})/(a^x)=a^3

\frac{a ^{20}}{a ^{x}} = a^{3}

solvefor x,3^{1-2x}=4^x solve for

x, 3^{1 - 2 x} = 4^{x}

sqrt(3)^x= 1/27

3^{x} = \frac{1}{27}

solvefor x,e^{2x}=3y^2 solve for

x, e^{2 x} = 3 y^{2}

Frequently Asked Questions (FAQ)

What is the answer to 2xe^x+e^x(x^2-3)=0 ?
The answer to 2xe^x+e^x(x^2-3)=0 is x=1,x=-3