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

The answer to e^x(x^2-3x+1)=0 is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2

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e^x(x^2-3x+1)=0

e^{x} (x^{2} - 3 x + 1) = 0

x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

Decimal

x = 2.61803 \dots, x = 0.38196 \dots

Solution steps

e^{x} (x^{2} - 3 x + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

e^{x} = 0 or x^{2} - 3 x + 1 = 0

Solve

e^{x} = 0 :

No Solution for

x \in R

Solve

x^{2} - 3 x + 1 = 0 : x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

x = \frac{3 + 5}{2}, x = \frac{3 - 5}{2}

2^{x + 2} + 2^{x - 1} = 6^{x - 1}

288 \cdot 2^{\frac{x}{4}} = 96

2^{2 x - 3} = 5^{x - 2}

1 0^{- x} = 169

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

What is the answer to e^x(x^2-3x+1)=0 ?
The answer to e^x(x^2-3x+1)=0 is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2