What is the answer to e^{2x}+2e^x+8=0 ?

The answer to e^{2x}+2e^x+8=0 is No Solution for x\in\mathbb{R}

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e^{2x}+2e^x+8=0

e^{2 x} + 2 e^{x} + 8 = 0

No Solution for x \in R

Solution steps

e^{2 x} + 2 e^{x} + 8 = 0

Apply exponent rules

(e^{x})^{2} + 2 e^{x} + 8 = 0

Rewrite the equation with

e^{x} = u

(u)^{2} + 2 u + 8 = 0

Solve

u^{2} + 2 u + 8 = 0 :

No Solution for

u \in R

No Solution for x \in R

3^{x} = - \frac{10}{3}

3 (3)^{- 2 t} = 9 (3)^{- 3 t + 3}

5^{x + 1} - 50 \cdot 5^{- x} = 123

8^{x} = 15

8^{x} = 11

What is the answer to e^{2x}+2e^x+8=0 ?
The answer to e^{2x}+2e^x+8=0 is No Solution for x\in\mathbb{R}