# some quadratic equation

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• December 13th 2011, 07:53 PM
arangu1508
some quadratic equation
How to solve the following equation

5^(2x) - 5^(x+3) + 125 = 5^x

This problem has been given under quadratic.

Any help in this regard solicited.

Thanks.

Arangaswamy
• December 13th 2011, 08:00 PM
Amer
Re: some quadratic equation
$5^{2x} - 5^{x+3} + 125 = 5^x \Rightarrow 5^{2x} - 5^{x+3} + 125 - 5^x = 0$

note that $5^{x+3} = 5^x \cdot 5^3$

factor 5^x and factor 5^3
or you can let $y = 5^x$ and see what happened
• December 13th 2011, 08:29 PM
arangu1508
Re: some quadratic equation
Thank you. I will do that and get back to you.