Răspuns :
[tex] \frac{a}{b} = \frac{7}{5} =\ \textgreater \ 5a=7b=\ \textgreater \ a= \frac{7b}{5} \\
a*b=1260=\ \textgreater \ \frac{7b ^{2} }{5}=1260 =\ \textgreater \ \\
7b ^{2} =6300=\ \textgreater \ b^{2} =900=\ \textgreater \ b=30 \\
a=210:5=42
[/tex]
Rezultatul final: a=42 b=30 .
Rezultatul final: a=42 b=30 .
a / b = 7 / 5 ⇒ 5 × a = 7 × b ⇒ a = 7×b / 5
a × b = 1 260
7×b / 5 × b = 1 260
7×b² = 5 × 1 260
b² = 6 300 : 7
b² = 900
b = √900 ⇒ b = 30
a = ( 7 × 30 ) : 5 = 210 : 5 ⇒ a = 42
a / b = 42 / 30 = 7 / 5
a × b = 1 260
7×b / 5 × b = 1 260
7×b² = 5 × 1 260
b² = 6 300 : 7
b² = 900
b = √900 ⇒ b = 30
a = ( 7 × 30 ) : 5 = 210 : 5 ⇒ a = 42
a / b = 42 / 30 = 7 / 5