\(\frac{1}{10}\)CỘNG \(\frac{4}{20}\) CỘNG 9/30 CỘNG 16/40 CỘNG 25/50 CỘNG 36/60 - X = 2
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=1/10+1/10+3/10+4/10+5/10+6/10+7/10+8/10+9/10
=1/10+45/10
=46/10=23/5
1/10+4/20+9/30+16/40+25/50+36/60+49/70+64/80+81/90
=1/10+2/10+3/10+4/10+5/10+6/10+7/10+8/10+9/10
=1+2+3+4+5+6+7+8+9/10
=45/10 (tự rút gọn)
Ta có : 1/10+2/20+3/30+4/40+5/50+6/60+7/70+8/80+9/90
= 1/10+1/10+1/10+1/10+1/10+1/10+1/10+1/10+1/10
= 1/10 . 9
= 9/10
Vậy.......
Tk và kb với mik nha !!!
Bài 1:
a: \(\dfrac{25}{42}-\dfrac{20}{63}=\dfrac{75-40}{126}=\dfrac{35}{126}=\dfrac{5}{18}\)
b: \(\dfrac{9}{20}-\dfrac{13}{75}-\dfrac{1}{6}=\dfrac{135}{300}-\dfrac{52}{300}-\dfrac{50}{300}=\dfrac{33}{300}=\dfrac{11}{100}\)
Bài 1:
a) \(\frac{5^2.6^{11}.16^2+6^2.11^6.15^2}{2.6^{12}.10^{14}-81^2.960^3}=\frac{5^2.2^{19}.3^{11}+2^2.3^4.11^6.5^2}{2^{27}.3^{12}.5^{14}-3^{11}.2^{18}.5^3}\)
\(=\frac{5^2.2^2.3^4.\left(2^{17}.3^7+11^6\right)}{2^{18}.3^{11}.5^3.\left(2^9.3.5^{11}-1\right)}=\frac{2^{17}.3^7+11^6}{2^{16}.3^7.5.\left(2^9.3.5^{11}-1\right)}\)
b) Đặt A = 2528 + 2524 +....+ 254 +1
=> 254.A = 2532 + 2528 +...+ 258 + 254
=> 254.A - A = 2532 -1
\(A=\frac{25^{32}-1}{25^4-1}\)
tương tự....
Thay vào:
\(\frac{25^{28}+25^{24}+...+25^4+1}{25^{30}+25^{28}+...+25^2+1}=\frac{\frac{25^{32}-1}{25^4-1}}{\frac{25^{32}-1}{25^2-1}}=\frac{25^2-1}{25^4-1}\)
\(\frac{1}{10}+\frac{4}{20}+\frac{9}{30}+\frac{4}{16}+\frac{25}{50}+\frac{36}{60}-x=2\)
\(\frac{1}{10}+\frac{1}{5}+\frac{3}{10}+\frac{1}{4}+\frac{1}{2}+\frac{3}{5}-x=2\)
\(\left(\frac{1}{10}+\frac{1}{5}+\frac{3}{10}+\frac{1}{4}+\frac{1}{2}+\frac{3}{5}\right)-x=2\)
\(\frac{39}{20}-x=2\)
\(x=\frac{39}{20}-2\)
\(x=\frac{-1}{20}\)