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x²-4x+2=0 denklemine göre x²+4/x² toplamının sonucu kaçtır ?

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[tex]x^{2}-4x+2=0 \\x^{2}+2=4x \\ \\x+\frac{2}{x}=4 \\ \\(x+\frac{2}{x})^{2}=4^{2} \\ \\x^{2}+2.x.\frac{2}{x}+\frac{4}{x^{2}}=16 \\ \\x^{2}+4+\frac{4}{x^{2}}=16 \\ \\x^{2}+\frac{4}{x^{2}}=16-4 \\ \\x^{2}+\frac{4}{x^{2}}=12 [/tex]

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