Exponents (or is it indices?)

Algebra Level 3

Find the sum of all real solutions to the equation

2 x + 3 x + 6 x = x 2 2^x + 3^x +6^x = x^2


The answer is -1.

Sharky Kesa by Sharky Kesa , 19, United Kingdom

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2 solutions

Abhiram Rao
Apr 25, 2016

The exponential graph cuts the parabola only once. So it has only 1 solution which is -1. Good problem though.

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Shivamani Patil
Jun 10, 2014

We only have -1 as solution for problem so sum of all solutions will be -1.

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Explain why.................................

Jayakumar Krishnan - 7 years ago

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It is easy to explain, you can draw the graphs to see the exponential graph cuts the parabola only once

Ronak Agarwal - 6 years, 10 months ago

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