Simple exponential equation | 2^x + 2^-x =17/4


Summary

The video presents an introduction to exponential equations and a method to simplify them by cleverly rewriting terms. By manipulating the equation and rearranging terms, a quadratic equation is obtained for easy factorization. The video then delves into finding possible solutions for x by solving the quadratic equation through careful consideration of different cases. The video is a great resource for individuals looking to enhance their understanding of exponential equations and solving for unknown variables.


Introduction and Equation Simplification

Introduction to the exponential equation provided by a Facebook follower and simplifying the equation by rewriting 2^x as 1 / 2^(-x).

Multiplying Terms and Rearranging

Multiplying every term by 2^x*4 to simplify the equation and rearrange the terms for easier factorization.

Factorization of Quadratic Equation

Factorizing the quadratic equation obtained after rearranging the terms and finding the possible solutions for x.

Solving for x

Solving the quadratic equation to find the possible values for x by considering the different cases and simplifying the expressions.

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