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a) 135 + x -135 = 0 => (135 - 135) + x = 0 => x = 0.
b) -562 - x + 562 = 0 => (-562 + 562) - x = 0 => - x = 0 => x = 0.
c) 61 + x - 23 = 91=> (61 - 23) + x = 91=>38 + x = 91=> x = 53.
d) 11 + 53 - x = 97 => 64 - x = 97 => x = 64 - 97 => x = - 33
\(M=\dfrac{6}{10.13}+\dfrac{6}{13.16}+\dfrac{6}{16.19}+\dfrac{6}{19.21}\)
\(\dfrac{1}{2}M=\dfrac{3}{10.13}+\dfrac{3}{13.16}+\dfrac{3}{16.19}+\dfrac{3}{19.21}\)
\(\dfrac{1}{6}M=\dfrac{1}{10}-\dfrac{1}{13}+\dfrac{1}{13}-\dfrac{1}{16}+\dfrac{1}{16}-\dfrac{1}{19}+\dfrac{1}{19}-\dfrac{1}{21}\)
\(\dfrac{1}{6}M=\dfrac{1}{10}-\dfrac{1}{21}\)
\(M=\dfrac{11}{210}:\dfrac{1}{6}=\dfrac{11}{35}\)
\(N=\dfrac{1}{20}-\dfrac{1}{23}+\dfrac{1}{23}-\dfrac{1}{26}+\dfrac{1}{26}-\dfrac{1}{29}+\dfrac{1}{29}-\dfrac{1}{30}\)
\(=\dfrac{1}{20}-\dfrac{1}{30}\)
\(=\dfrac{1}{60}\)
\(\dfrac{M}{N}=\dfrac{11}{35}:\dfrac{1}{60}=\dfrac{132}{7}\)= \(\dfrac{132}{25}\)
a: =>x-562=20
=>x=582
b: =>562-x+568=0
=>1130-x=0
=>x=1130
c: =>2x-123=283-62=221
=>2x=344
=>x=172
d: =>2x-1=2
=>2x=3
=>x=3/2
\(A=7\left(\dfrac{1}{10}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{12}+...+\dfrac{1}{69}-\dfrac{1}{70}\right)\)
\(=7\left(\dfrac{1}{10}-\dfrac{1}{70}\right)=\dfrac{7.60}{700}=\dfrac{420}{700}=\dfrac{3}{5}\)
\(B=\dfrac{1}{2}\left(\dfrac{1}{25}-\dfrac{1}{27}+\dfrac{1}{27}-\dfrac{1}{29}+...+\dfrac{1}{73}-\dfrac{1}{75}\right)\)
\(=\dfrac{1}{2}\left(\dfrac{1}{25}-\dfrac{1}{75}\right)=\dfrac{1}{75}\)
789. 2- 56+ (-95)+111+261+498-215+49+1236-4591-56+4189+48+52-1000-500+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
= 1578- 56+ (-95)+111+261+498-215+49+1236-4591-56+4189+48+52-1000-500+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=1522+ (-95)+111+261+498-215+49+1236-4591-56+4189+48+52-1000-500+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=1427+111+261+498-215+49+1236-4591-56+4189+48+52-1000-500+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=1538+261+498-215+49+1236-4591-56+4189+48+52-1000-500+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=1799+498-215+49+1236-4591-56+4189+48+52-1000-500+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=2297-215+49+1236-4591-56+4189+48+52-1000-500+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=2082+49+1236-4591-56+4189+48+52-1000-500+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=2131+1236-4591-56+4189+48+52-1000-500+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=3367-4591-56+4189+48+52-1000-500+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=-1224-56+4189+48+52-1000-500+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=-1280+4189+48+52-1000-500+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=2909+48+52-1000-500+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=2957+52-1000-500+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=3009-1000-500+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=2009-500+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=1509+230+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=1739+32500-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=34239-5600+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=28639+2641+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=31280+853+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=32133+195-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=32328-564+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=31764+235+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=31999+4187+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=36186+9023177-5000000+562+159-90+459-420+562+235+489+71+12
=9059363-5000000+562+159-90+459-420+562+235+489+71+12
=4059363+562+159-90+459-420+562+235+489+71+12
=4059925+159-90+459-420+562+235+489+71+12
=4060084-90+459-420+562+235+489+71+12
=4059994+459-420+562+235+489+71+12
=4060453-420+562+235+489+71+12
=4060033+562+235+489+71+12
=4060595+235+489+71+12
=4060830+489+71+12
=4061319+71+12=4061402
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https://www.youtube.com/watch?v=fvGaHwKrbUc
a,19.21=(20-1)(20+1)=202-12=400-1=399
29.31=(30-1)(30+1)=302-12=900-1=899
39.41=(40-1)(40+1)=402-12=1600-1=1599