SOLUTION: 5^(2x) - 5^(x-1) = -6

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Question 1055949: 5^(2x) - 5^(x-1) = -6
Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.
5^(2x) - 5^(x-1) = -6
~~~~~~~~~~~~~~~~~~~~~~~ 

This equation is the same as

 = -6.

Multiply both sides by 5. You will get.

 = 0.

Introduce new variable u = . Then the last equation takes the form

 = 0.

Apply the quadratic formula

 = .

There are NO real solutions.

Are you sure you correctly wrote your equation?


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