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

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

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

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

No Solution for x \in R

Solution steps

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

Apply exponent rules

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

Rewrite the equation with

e^{x} = u

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

Solve

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

No Solution for

u \in R

No Solution for x \in R

9^{x + 1} = 2 7^{4 x - 2}

e^{e^{x}} = 14

7^{x + 4} = π^{2 x}

5^{3 x + 1} = 5^{3 x + 2} - 100

x, - f = 2^{x} + 1

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