Question

Tim a,b biet

                 \(\frac{a}{b}=\frac{15}{35}\) va  \(UCLN\left[a;b\right].BCNN\left[a;b\right]=3549\)

Answer 1

ƯCLN(a,b).BCNN(a,b) = ab = 3549

\(\frac{a}{b}=\frac{15}{35}=\frac{3}{7}\Rightarrow\frac{a}{3}=\frac{b}{7}\)mà \(\frac{a}{3}.\frac{b}{7}=\left(\frac{a}{3}\right)^2=\frac{ab}{21}=\frac{3549}{21}=169\)

=> \(\frac{a}{3}\in\left\{-13;13\right\}\)=> a\(\in\left\{-39;39\right\}\)=> b\(\in\left\{-91;91\right\}\).Vậy (a ; b) = (-39 ; -91);(39 ; 91)

Answer 2

Khi phân tích ra,anh sẽ thấy:

3549=a.b(em sẽ tắt lại)

\(\frac{a}{b}=\frac{15}{35}=\frac{3}{7}\)

a=3k

b=7p.

21.k.p=3549

k.p=169

k.p=13^2

k=p=13.

b=91

a=36.

Chúc anh học tốt^^