tính nhanh 11+13+15+17+...+87+89
Tính nhanh
11+13+15+17+...+87+89
Tinh nhanh:11+12+13+14+15+16+17+18+19+89+88+87+86+85+84+83+83+82
11+12+13+14+15+16+17+18+19+...+89+88+87+86+85+84+83+82
=( 11 + 89 )+(12+88)+(13+87)+(14+86)+(15+85)+(16+84)+(17+83)+(18+82)+19
=100+100+100+100+100+100+100+100+19
=800+19
=819
a. Tim x biết: (x + 11)/89 + (x + 13)/87 = (x + 15)/85 + (x + 17)/83
\(\dfrac{x+11}{89}+\dfrac{x+13}{87}=\dfrac{x+15}{85}+\dfrac{x+17}{83}\\\Leftrightarrow\left(\dfrac{x+11}{89}+1\right)+\left(\dfrac{x+13}{87}+1\right)=\left(\dfrac{x+15}{85}+1\right)+\left(\dfrac{x+17}{83}+1\right)\\ \Leftrightarrow\dfrac{x+100}{89}+\dfrac{x+100}{87}-\dfrac{x+100}{85}-\dfrac{x+100}{83}=0\\ \Leftrightarrow\left(x+100\right)\left(\dfrac{1}{89}+\dfrac{1}{87}-\dfrac{1}{85}-\dfrac{1}{83}\right)=0\\ \Leftrightarrow x+100=0\left(vì\dfrac{1}{89}+\dfrac{1}{87}-\dfrac{1}{85}-\dfrac{1}{83}\ne0\right)\\ \Leftrightarrow x=-100\)
\(\dfrac{x-11}{89}+\dfrac{x-13}{87}+\dfrac{x-15}{85}+\dfrac{x-17}{83}=4\)
\(\dfrac{x-11}{89}\) +\(\dfrac{x-13}{87}+\dfrac{x-15}{85}+\dfrac{x-17}{83}\)=4
⇔\(\dfrac{x-11}{89}+\dfrac{x-13}{87}+\dfrac{x-15}{85}+\dfrac{x-17}{83}-4=0\)
⇔\(\dfrac{x-11}{89}-1+\dfrac{x-13}{87}-1+\dfrac{x-15}{85}-1+\dfrac{x-17}{83}-1=0\)
⇔\(\dfrac{x-100}{89}+\dfrac{x-100}{87}+\dfrac{x-100}{85}+\dfrac{x-100}{83}=0\)
⇔\(\left(x-100\right)\left(\dfrac{1}{89}+\dfrac{1}{87}+\dfrac{1}{85}+\dfrac{1}{83}\right)=0\)
\(Do\) \(\dfrac{1}{89}+\dfrac{1}{87}+\dfrac{1}{85}+\dfrac{1}{83}\)≠\(0\) nên x-100=0 nên x=100
KL........
⇔(\(\dfrac{x-11}{89}\)-1)+(\(\dfrac{x-13}{87}\)-1)+(\(\dfrac{x-15}{85}\)-1)+(\(\dfrac{x-17}{83}\)-1)=0
⇔\(\dfrac{x-100}{89}\)+\(\dfrac{x-100}{87}\)+\(\dfrac{x-100}{85}\)+\(\dfrac{x-100}{83}\)=0
⇔(x-100)(\(\dfrac{1}{89}\)+\(\dfrac{1}{87}\)+\(\dfrac{1}{85}\)+\(\dfrac{1}{83}\))=0 (1)
Do 1/89+1/87+1/85+1/83≠0 nên (1)⇔x-100=0 ⇔x=100
Vậy tập nghiệm của PT là S=\(\left\{100\right\}\)
Giải pt
x-11/89 + x-13/87 + x-15/85 + x-17/83 =4
Giúp mình với cảm ơn ạ
=> x-100 =0 => x=100Vậy nghiệm là 100
ta có 0=\(\frac{x-11}{89}-1+\frac{x-13}{87}-1+\frac{x-15}{85}-1+\frac{x-17}{83}-1=0\)
0=\(\frac{x-11-89}{89}+\frac{x-13-87}{87}+\frac{x-15-85}{85}+\frac{x-17-83}{83}\)
0=\(\frac{x-100}{89}+\frac{x-100}{87}+\frac{x-100}{85}+\frac{x-100}{83}\)
0=(x-100)(\(\frac{1}{89}+\frac{1}{87}+\frac{1}{85}+\frac{1}{83}\))
vì \(\frac{1}{89}+\frac{1}{87}+\frac{1}{85}+\frac{1}{83}\)khác 0 suy ra x-100=0
x=100
x−11/89+x−13/87+x−15/85+x−17/83=4
=>(x−11/89−1)+(x−13/87−1)+(x−15/85−1)+(x−17/83−1)=0
=>x−100/89+x−100/87+x−100/85+x−100/83=0
=>(x−100)(1/89+1/87+1/85+1/83)=0
=> x-100 =0
Vậy nghiệm là 100
Tính nhanh
a,-128.(-25+89)+128(89-125)
b, 15.(17-111)-17.(222+15)
c,-65.(87-17)-87.(17-65)
d,-54+38+12.(-54)-50.(-54)
a, - 128 . (-25+89) + 128.(89-125)
= 128 . - (-25 +89) + 128 . (89 - 125)
= 128 . [-(-25+89)+(89 - 125)]
= 128. (25+89+89-125)
= 128 . (89.2+-100)=128.78=(120+8).(70+8)= 8.190=1520
tính tính hợp lí nếu đc
B=11+13+15+...+87+89
giải giúp mình càng nhanh càng tốt nhé
Số hạng tử của B là : ( 89 - 11 ) : 2 + 1 = 40 ( hạng tử )
\(B=11+13+15+...+87+89\)
\(=\left(11+98\right).40:2\)
\(=2180\)
B = 11 + 13 + 15 + ... + 87 + 89
Ta có : B = 11 + 13 + 15 + ... + 87 + 89 (có 40 số )
= (89 + 11) . 40 : 2
= 2000
B = ( 89 + 11 ) x[ ( 89 - 11 ) : 2 + 1] : 2 = 2000
hok tốt
tính nhanh
a, 5 mũ 3 + 2 . 5 mũ 2 . 15 + 5 . 15 mũ 2
b, 11 mũ 3 - 2 . 11 mũ 2 . 9 + 11 . 9 mũ 2
c, 10 mũ 3 . 3 mũ 2 + 24000 + 10 mũ 3 . 9
d, 89 mũ 2 - 11 mũ 2 + 13 mũ 2 - 87 mũ 2
Ta có:
Vậy giá trị biểu thức A là 3
Tính nhanh:
11 + 13 + 89 + 87
(Câu gỡ điểm cho những ai bị âm nè!Ai trả lời nhanh nhất mình tick cho)
11 + 13 + 89 + 87
= ( 11 + 89 ) + ( 12 + 87 )
= 100 + 100
= 200
11 + 13 + 89 + 87
= (11 + 89) + (13 + 87)
= 100 + 100
= 200