What is the answer to e^x(x^2+4x+2)=0 ?

The answer to e^x(x^2+4x+2)=0 is x=-2+sqrt(2),x=-2-sqrt(2)

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e^x(x^2+4x+2)=0

e^{x} (x^{2} + 4 x + 2) = 0

x = - 2 + 2, x = - 2 - 2

Decimal Notation

x = - 0.58578 \dots, x = - 3.41421 \dots

Solution steps

e^{x} (x^{2} + 4 x + 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

e^{x} = 0 or x^{2} + 4 x + 2 = 0

Solve

e^{x} = 0 :

No Solution for

x \in R

Solve

x^{2} + 4 x + 2 = 0 : x = - 2 + 2, x = - 2 - 2

x = - 2 + 2, x = - 2 - 2

3^{2 x} - 12 \times 3^{x} + 27 = 0

2 (5^{3 x}) = 31250

9^{9 x + 4} = 243

4^{x + 1} + 4^{x + 2} = 320

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

What is the answer to e^x(x^2+4x+2)=0 ?
The answer to e^x(x^2+4x+2)=0 is x=-2+sqrt(2),x=-2-sqrt(2)