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\(\left(\frac{2}{11x13}+\frac{2}{13x15}+\frac{2}{15x17}+\frac{2}{17x19}+\frac{2}{19x21}\right)\)) x 462 - y = 19
\(=\left(\frac{13-11}{11x13}+\frac{15-13}{13x15}+\frac{17-15}{15x17}+\frac{19-17}{17x19}+\frac{21-19}{19x21}\right)\)x 462 - y = 19
\(=\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+\frac{1}{15}-\frac{1}{17}+\frac{1}{17}-\frac{1}{19}+\frac{1}{19}-\frac{1}{21}\)) x 462 - y = 19
\(=\left(\frac{1}{11}-\frac{1}{21}\right)\)x 462 - y = 19
\(=\left(\frac{21}{231}-\frac{11}{231}\right)\)x 462 - y = 19
\(=\frac{10}{231}\)x 462 - y = 19
\(=20\)- y = 19
y = 20 - 19
y = 1
Tìm \(x\) biết:
(\(\dfrac{2}{11\times13}\) + \(\dfrac{2}{13\times15}\)+...+ \(\dfrac{2}{19\times21}\)) x 462 - (204: (\(x-105\)):12) =19
(\(\dfrac{1}{11}-\dfrac{1}{13}\)+ \(\dfrac{1}{13}\) - \(\dfrac{1}{15}\)+...+ \(\dfrac{1}{19}\) - \(\dfrac{1}{21}\)) x 462 - (204 : (\(x\) -105):12) =19
(\(\dfrac{1}{11}\) - \(\dfrac{1}{21}\)) x 462 - \(\dfrac{204:(x-105)}{12}\) = 19
\(\dfrac{10}{213}\) x 462 - \(\dfrac{204:\left(x-105\right)}{12}\) = 19
20 - \(\dfrac{204:\left(x-105\right)}{12}\) = 19
204:(\(x\) - 105):12 = 20 - 19
204:(\(x-105\)):12 = 1
204: (\(x\) - 105) = 12
\(x-105\) = 204: 12
\(x\) - 105 = 17
\(x\) = 17 + 105
\(x\) = 122
Tìm y biết \(\left(\frac{2}{11x13}+\frac{2}{13x15}+\frac{2}{15x17}+\frac{2}{17x19}\right)+462-y=19\)
ta lấy : (1/11-1/13+1/13-1/15+...+1/19)x462-y=19
(1/11-1/19)x462-y=19
32/209x462-y=19
70,73-y=19
y=70,73-19=51,73
đúng thì k cho mình nhé , ko đúng cũng ko sao ^^
1. \(\left(\frac{2}{11.13}+\frac{2}{13.15}+\frac{2}{15.17}+\frac{2}{17.19}+\frac{2}{19.21}\right)\times462-x=19\)
\(\left(\frac{13-11}{11.13}+\frac{15-13}{13.15}+\frac{17-15}{15.17}+\frac{19-17}{17.19}+\frac{21-19}{19.21}\right)\times462-x=19\)
\(\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+\frac{1}{15}-\frac{1}{17}+\frac{1}{17}-\frac{1}{19}+\frac{1}{19}-\frac{1}{21}\right)\times462-x=19\)
\(\left(\frac{1}{11}-\frac{1}{21}\right)\times462-x=19\)
\(\frac{10}{231}\times462-x=19\)
\(20-x=19\)
\(x=20-19\)
\(x=1\)
2.b \(187-[[497-(8\times x+11)\div x]\div3-78]=150\)
\(187-[[497-(\frac{8\times x}{x}+\frac{11}{x})]:3-78]=150\)
\(187-[(497-8-\frac{11}{x}):3-78]=150\)
\(187-[(489-\frac{11}{x}):3-78]=150\)
\(187-[\frac{489}{3}-\frac{33}{x}-78]=150\)
\(187-[163-\frac{33}{x}-78]=150\)
\(187-85+\frac{33}{x}=150\)
\(102+\frac{33}{x}=150\)
\(\frac{33}{x}=150-102\)
\(\frac{33}{x}=48\)
\(x=\frac{48}{33}=\frac{16}{11}\)
(1/11-1/13+1/13-1/15+.....+1/19-1/21)*462-y=19
(1/11-1/21)*462-y=19
10/231*462-y=19
20-y=19
y=1