Wyznacz ze wzoru wielkość a. a) [latex]frac{m}{a} = frac{2}{b}[/latex]  b)[latex]frac{m}{a} -2 - frac{1}{a} = n[/latex]  c) [latex]m (m - frac{2}{a}) = 2[/latex]  d) [latex]frac{m}{a} = frac{x}{a^{2}}[/latex]  Proszę o pomoc :D Z góry dziękuję.  

Wyznacz ze wzoru wielkość a. a) [latex]frac{m}{a} = frac{2}{b}[/latex]  b)[latex]frac{m}{a} -2 - frac{1}{a} = n[/latex]  c) [latex]m (m - frac{2}{a}) = 2[/latex]  d) [latex]frac{m}{a} = frac{x}{a^{2}}[/latex]  Proszę o pomoc :D Z góry dziękuję.  
Odpowiedź

a) [latex]2a=mb \a=frac{mb}{2}[/latex] b) [latex]frac{m-1}{a}=n+2 \a(n+2)=m-1 \a=frac{m-1}{n+2}[/latex] c) [latex]m(m-frac{2}{a})=2 \m^{2}-frac{2m}{a}=2 \m^{2}a-2m=2a \m^{2}a-2a=2m \a(m^{2}-2)=2m \a=frac{2m}{m^{2}-2} [/latex] d) [latex]frac{m}{a}=frac{x}{a^{2}} \ax=a^{2}m \frac{x}{a}=m \x=am \a=frac{x}{m}[/latex]

a) [latex]frac{m}{a} = frac{2}{b}[/latex] /*a [latex]m = frac{2a}{b}[/latex] / *[latex]frac{b}{2}[/latex] [latex]a=frac{mb}{2}[/latex]   b) [latex]frac{m}{a}-2-frac{1}{a}=n[/latex] /+2 [latex]frac{m-1}{a}=n+2[/latex] / *[latex]frac{a}{n+2}[/latex] [latex]a=frac{m-1}{n+2}[/latex]   c) [latex]m(m-frac{2}{a})=2[/latex] /*[latex]frac{1}{m}[/latex] [latex]m-frac{2}{a}=frac{2}{m}[/latex] /[latex]-frac{2}{a}+frac{2}{m}[/latex] [latex]frac{2}{a}=frac{m^2-2}{m}[/latex] /*[latex]frac{ma}{m^2-2}[/latex] [latex]a=frac{2m}{m^2-2}[/latex]   d) [latex]frac{m}{a}=frac{x}{a^2}[/latex] /*a [latex]m=frax{x}{a}[/latex] /* [latex]frac{a}{m}[/latex] [latex] a= frac{x}{m}[/latex]  

Dodaj swoją odpowiedź