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# Vieta's Formula

Vieta's formula relates the coefficients of polynomials to the sum and products of their roots. This can provide a shortcut to finding solutions in more complicated algebraic polynomials.

What is the sum of the two roots of the following equation: \[(3x-1355)^2+4(3x-1355)+5=0?\]

Find the sum of all real solutions to the equation \[6 \cdot 4^x - 2057 \cdot 2^x + 3072 = 0.\]

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