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Let f(x)=a^(x)+b^(x)+5, where a,b are th...

Let `f(x)=a^(x)+b^(x)+5`, where `a,b` are the roots of the equation `x^(2)-3x+4=0` . If `4f(5)+f(7)-10=k f (6)`, then find the value of` k` .

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