Problema 5 va rog! Mulțumesc anticipat!

Problema 5 Va Rog Mulțumesc Anticipat class=

Răspuns :

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Vezi imaginea 102533

Aplicam proportii derivate.

a) Din [tex] \frac{a}{b}=\frac{3}{d} [/tex] ⇒[tex] \frac{4a+2b}{3a+b}=\frac{4*3+2*2}{3*3+2}=\frac{16}{11} [/tex]

b) [tex] \frac{a^{2}}{b^{2}}=\frac{9}{4} [/tex]

atunci [tex] \frac{a^{2}+2b^{2}}{2a^{2}+b^{2}}=\frac{9+2*4}{2*9+4}=\frac{17}{22} [/tex]

c) [tex] \frac{a^{2}-b^{2}}{6ab}=\frac{9-4}{6*3*2}=\frac{5}{36} [/tex]