\(10000(1+\frac{x}{100})(1+\frac{0,75x}{100})=10712 \)
\((1+\frac{x}{100})(1+\frac{0,75x}{100})=\frac{10712}{10000} \)
\(1+\frac{0,75x}{100}+\frac{x}{100}(1+\frac{0,75x}{100})=\frac{10712}{10000} \)
\(\frac{0,75}{100}x+\frac{1}{100}x+\frac{0,75}{10000}x^2=\frac{712}{10000} \)
\(75x+100x+0,75x^2=712 \)
\(0,75x^2+175x-712 =0\)
\(3x^2+700x-2848=0\)
\(x_{1,2}=\frac{-700\pm\sqrt{490000+34176}}{6}=\frac{-700\pm724}{6}\)
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