Tìm a, b, c, d thuộc N , biết
30/43=1/a+1/b+1/c+1/d
tìm các số a,b, c, d thuộc n biết\(\frac{30}{43}=\frac{1}{a+\frac{1}{B+\frac{1}{c+\frac{1}{d}}}}\)
Ai là hs giỏi thì giúp mik vs mai nộp rồi
Ta có : \(\frac{30}{43}=\frac{1}{\frac{43}{30}}=\frac{1}{1+\frac{13}{30}}=\frac{1}{1+\frac{1}{2+\frac{4}{13}}}=\frac{1}{1+\frac{1}{2+\frac{1}{3+\frac{1}{4}}}}\)
Vậy a = 1,b = 2,c = 3,d = 4
\(\frac{30}{43}=\frac{1}{\frac{43}{30}}=\frac{1}{1+\frac{13}{30}}=\frac{1}{1+\frac{1}{2+\frac{1}{3+\frac{1}{4}}}}\)
Vậy a = 1;b=2;c=3;d=4 ( thỏa mãn )
Tìm các số a,b,c,d thuộc N biết :
\(\frac{30}{43}=\frac{1}{a+\frac{1}{b+\frac{1}{c+\frac{1}{d}}}}\)
\(\frac{30}{43}=\frac{1}{a+\frac{1}{b+\frac{1}{c+\frac{1}{d}}}}\)\(\Rightarrow\frac{1}{\frac{43}{30}}=\frac{1}{a+\frac{1}{b+\frac{1}{c+\frac{1}{d}}}}\)
\(\Rightarrow\frac{1}{1+\frac{13}{30}}=\frac{1}{a+\frac{1}{b+\frac{1}{c+\frac{1}{d}}}}\)\(\Rightarrow\frac{1}{1+\frac{1}{\frac{30}{13}}}=\frac{1}{a+\frac{1}{b+\frac{1}{c+\frac{1}{d}}}}\)\(\Rightarrow\frac{1}{1+\frac{1}{2+\frac{4}{13}}}=\frac{1}{a+\frac{1}{b+\frac{1}{c+\frac{1}{d}}}}\)\(\Rightarrow\frac{1}{1+\frac{1}{2+\frac{1}{\frac{13}{4}}}}=\frac{1}{a+\frac{1}{b+\frac{1}{c+\frac{1}{d}}}}\)\(\Rightarrow\frac{1}{1+\frac{1}{2+\frac{1}{3+\frac{1}{4}}}}=\frac{1}{a+\frac{1}{b+\frac{1}{c+\frac{1}{d}}}}\)
\(\Rightarrow a=1,b=2,c=3,d=4\)
tìm a, b, c, d thuộc N biết:\(\frac{30}{43}=\frac{1}{a+\frac{1}{b+\frac{1}{c+\frac{1}{d}}}}\)
Ta có: \(\frac{1}{1+\frac{1}{2+\frac{1}{3+\frac{1}{4}}}}=\frac{1}{1+\frac{1}{2+\frac{1}{\frac{13}{4}}}}=\frac{1}{1+\frac{1}{2+\frac{4}{13}}}=\frac{1}{1+\frac{1}{\frac{30}{13}}}=\frac{1}{1+\frac{13}{30}}=\frac{1}{\frac{43}{30}}=\frac{30}{43}\)
Vậy a=1
b=2
c=3
d=4
\(\frac{30}{43}=\frac{1}{\frac{43}{30}}=\frac{1}{1+\frac{13}{30}}=\frac{1}{1+\frac{1}{\frac{30}{13}}}=\frac{1}{1+\frac{1}{2+\frac{4}{13}}}=\frac{1}{1+\frac{1}{2+\frac{1}{3+\frac{1}{4}}}}\)
a=1;b=2;c=3;d=4
Tìm các số a,b,c,d thuộc N:
\(\frac{30}{43}=\frac{1}{a+\frac{1}{b+\frac{1}{c+\frac{1}{d}}}}\)
\(\frac{30}{43}=\frac{1}{\frac{43}{30}}=\frac{1}{1+\frac{13}{30}}=\frac{1}{1+\frac{1}{\frac{30}{13}}}=\frac{1}{1+\frac{1}{2+\frac{4}{13}}}=\frac{1}{1+\frac{1}{2+\frac{1}{\frac{13}{4}}}}=\frac{1}{1+\frac{1}{2+\frac{1}{3+\frac{1}{4}}}}\)
vậy (a;b;c;d)=(1;2;3;4)
\(\frac{30}{43}=\frac{1}{\frac{43}{30}}=\frac{1}{1+\frac{13}{30}}=\frac{1}{1+\frac{1}{\frac{30}{13}}}=\frac{1}{1+\frac{1}{2+\frac{4}{13}}}=\frac{1}{1+\frac{1}{2+\frac{1}{\frac{13}{4}}}}=\frac{1}{1+\frac{1}{2+\frac{1}{3+\frac{1}{4}}}}\)
Vậy a=1 ; b=2 ; c=3 ; d=4
1) tìm các số a, b, c, d thuộc N, biết:
\(\frac{30}{43}=\frac{1}{a+\frac{1}{b+\frac{1}{c+\frac{1}{d}}}}\)
tìm các số a, b, c, d thuộc N, biết: \(\frac{30}{43}=\frac{1}{a+\frac{1}{b+\frac{1}{c+\frac{1}{d}}}}\)
tìm a,b,c,d thuoc N biet 30/43= 1phan a+ 1/b+1/c+1/d
Tìm cac số a,b,c,d Thuộc N,biết: \(\dfrac{30}{43}=\dfrac{1}{a+\dfrac{1}{b+\dfrac{1}{c+\dfrac{1}{d}}}}\)
Có \(\dfrac{30}{43}=\dfrac{1}{\dfrac{43}{30}}=\dfrac{1}{1+\dfrac{13}{30}}=\dfrac{1}{1+\dfrac{1}{\dfrac{30}{13}}}=\dfrac{1}{1+\dfrac{1}{2+\dfrac{4}{13}}}=\dfrac{1}{1+\dfrac{1}{2+\dfrac{1}{\dfrac{13}{4}}}}=\dfrac{1}{1+\dfrac{1}{2+\dfrac{1}{3+\dfrac{1}{4}}}}\)
Vậy a=1; b=2 ; c=3 ; d=4
ta thấy : \(\dfrac{a}{b}\) = \(\dfrac{1}{\dfrac{b}{a}}\)
\(\Rightarrow\) \(\dfrac{30}{43}\) = \(\dfrac{1}{\dfrac{43}{30}}\)
= \(\dfrac{1}{1+\dfrac{13}{30}}\)
= \(\dfrac{1}{1+\dfrac{1}{\dfrac{30}{13}}}\)
= \(\dfrac{1}{1+\dfrac{1}{2+\dfrac{2}{15}}}\)
= \(\dfrac{1}{1+\dfrac{1}{2+\dfrac{1}{\dfrac{15}{2}}}}\)
=\(\dfrac{1}{1+\dfrac{1}{2+\dfrac{1}{7+\dfrac{1}{2}}}}\)
Vậy a = 1; b = 2; c = 7; d = 4
Tìm Số tự nhiên a; b; c;d biết 30/43= 1/a+1/b+1/c+1/d
Bài 5. Tìm các số tự nhiên biết:
a) | b) |
c) | d) |