tex]...

няяшкааа @няяшкааа

August 2022 1 7 Report

[tex]( \frac{1}{25} )^{x} -6*( \frac{1}{5} ) ^{x} +5=0[/tex]

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Regent1828

Verified answer

$\displaystyle ( \frac{1}{25})^{x}-6( \frac{1}{5})^{x}+5=0 \\ \\ ( \frac{1}{5})^{2x}-6( \frac{1}{5})^{x}+5=0 \\ \\ ( \frac{1}{5})^{x}=a \\ \\ a^{2}-6a+5+0 \\ D=b^{2}-4ac=36-20=16 \\ \\ a_{1,2}= \frac{-bб \sqrt{D}}{2a} \\ \\ a_{1}=5 \\ a_{2}=1 \\ \\ ( \frac{1}{5})^{x}=5 \\ \\ x=-1 \\ \\ ( \frac{1}{5})^{x}=1 \\ \\ x=0$
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