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A={x `in` R/2^x+3^x-13*6^x=0} what is sum of x^2? x `in` A

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A={x `in` R/2^x+3^x-13*6^x=0}

what is sum of x^2?

x `in` A

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Posted (Answer #2)

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Define a function

`f(x)=2^x+3^x-13 xx 6^x`

The zero of the function f(x) s the root of the equation


``Observe from above graph x=-2 is zero of f(x)




Thus `x^2=(-2)^2=4`  and `-2inR and -2inA` .

Thus Ans=4

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