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Solve the equation e^2x + 4e^x + 4 = 0

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xetaalpha | Student | Honors

Posted September 21, 2012 at 5:40 AM via web

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Solve the equation e^2x + 4e^x + 4 = 0

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 21, 2012 at 5:44 AM (Answer #1)

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The equation ` e^(2x) + 4*e^x + 4 = 0` has to be solved.

let `e^x = y`

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

=> `y^2 + 4y + 4 = 0`

=> `(y + 2)^2 = 0`

=> y = -2

=> `e^x = -2`

But `e^x` cannot be negative for any value of x.

The equation `e^(2x) + 4*e^x + 4 = 0` has no solution.

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