Tìm x:
(286-x)x2,32=174
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\(a.120=2^3.3.5\)
\(320=2^6.5\)
\(ƯC\left(120;320\right)=\left\{40;80;120;160;200;...\right\}\)
\(ƯCLN\left(120;320\right)=2^3.5=40\)
\(b.455=5.7.13\)
\(950=2.5^2.19\)
\(ƯC\left(455;950\right)=\left\{5;10;15;20;25;...\right\}\)
\(ƯCLN\left(455;950\right)=5\)
\(c.126=2.3^2.7\)
\(108=2^2.3^3\)
\(306=2.3^2.17\)
\(ƯC\left(126;108;306\right)=\left\{18;36;54;72;...\right\}\)
\(ƯCLN\left(126;108;306\right)=2.3^2=18\)
a.120=23.3.5�.120=23.3.5
320=26.5320=26.5
ƯC(120;320)={40;80;120;160;200;...}Ư�(120;320)={40;80;120;160;200;...}
ƯCLN(120;320)=23.5=40Ư���(120;320)=23.5=40
b.455=5.7.13�.455=5.7.13
950=2.52.19950=2.52.19
ƯC(455;950)={5;10;15;20;25;...}Ư�(455;950)={5;10;15;20;25;...}
ƯCLN(455;950)=5Ư���(455;950)=5
c.126=2.32.7�.126=2.32.7
108=22.33108=22.33
306=2.32.17306=2.32.17
ƯC(126;108;306)={18;36;54;72;...}Ư�(126;108;306)={18;36;54;72;...}
ƯCLN(126;108;306)=2.32=18
(x - 5) x (x - 7) = 0
=> x - 5 = 0 => x =5
hoặc x - 7 = 0 => x=7
........
2x - 12 = 18................................
2x = 30 ........................................
x = 15.....................................
(286 - x) × 2,32 = 174
286 - x = 174 : 2,32
186 - x = 75
x = 186 - 75
x = 111