как найти? [tex]R= \frac{R1R2}{R1+R2} [/tex]нужно найти R1, если R2=60R=15. Created by Kira1717. matematika-ru

tex]нужно найти R1, если R2=60R=15...

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$R(R_{1}+R_{2})=R_{1}R_{2}\\
RR_{1}+RR_{2}=R_{1}R_{2}\\
R(R-R_{2})=-RR_{2}\\
R=\frac{-RR_{2}}{R-R_{2}}=\frac{-60*15}{15-60}=\frac{60*15}{45}=20$

2 votes Thanks 4

мохинсан $R=\frac{R_1\cdot R_2}{R_1+R_2};\\
R_2=60;\ \ \ R=15;\\
R_1-?;\\
R=\frac{R_1\cdot R_2}{R_1+R_2};\\
R\cdot R_1+R\cdot R_2=R_1\cdot R_2;\\
R_1\cdot R_2-R_1\cdot R=R\cdot R_2;\\
R_1(R_2-R)=R\cdot R_2;\\
R_1=\frac{R\cdot R_2}{R_2-R}=\frac{15\cdot60}{60-15}=\frac{15\cdot60}{45}=\frac{15\cdot60}{3\cdot15}=\frac{60}{3}=20;\\
$
проверим
$R=\frac{R_1\cdot R_2}{R_1+R_2}=\frac{20\cdot60}{20+60}=\frac{1200}{80}=\frac{120}{8}=\frac{30}{2}=15;$
значит $R_1=20$

1 votes Thanks 2

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