Tìm x, biết:
( x-1) + (x-2) + .... + (x-100 ) = 50
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a; 100% : \(x\) - 50% : \(x\) + 40% : \(x\) = 18 + 30% : \(x\)
(100% - 50% + 40%): \(x\) = 18 + 30% : \(x\)
90% : \(x\) = 18 + 30% : \(x\)
90%: \(x\) - 30%: \(x\) = 18
60% : \(x\) = 18
\(x\) = 60% : 18
\(x\) = \(\dfrac{1}{30}\)
A = \(\dfrac{3^{100}.\left(-2\right)+3^{101}}{\left(-3\right)^{101}-3^{100}}\)
A = \(\dfrac{3^{100}.\left(-2\right)+3^{100}.3}{\left(-3\right)^{100}.\left(-3\right)-3^{100}}\)
A = \(\dfrac{3^{100}.\left(-2+3\right)}{3^{100}.\left(-3\right)-3^{100}}\)
A = \(\dfrac{3^{100}.1}{3^{100}.\left(-3-1\right)}\)
A = \(\dfrac{3^{100}}{3^{100}}\) . \(\dfrac{1}{-4}\)
A = - \(\dfrac{1}{4}\)
(x - 1) + (x - 2) + (x - 3) + ... + (x - 100) = 50
(x + x + x + ... +x) - (1 + 2 + 3 + ... + 100) = 50
100x - 5050 = 50
100x = 50 + 5050
100x = 5100
x = 5100 : 100 = 51
(x + 1) + (x + 2 ) + (x + 3) + ... + (x - 100) = 50
x - 1 + x - 2 + x - 3 + .... + x - 100 = 50
(x + x + x + ... + x) + (1 - 2 - 3 - ... - 100) = 50
100x + (-2475) = 5750
100x = 5750 - (-2475) = 8225
x = 8225 : 100 = 82,25
\(a)\)\(\left(50-6.x\right).18=2^3.3^2.5\)
\(\Leftrightarrow\)\(\left(50-6.x\right).18=8.9.5\)
\(\Leftrightarrow\)\(\left(50-6.x\right).18=360\)
\(\Leftrightarrow\)\(\left(50-6.x\right)=360\div18\)
\(\Leftrightarrow\)\(50-6.x=20\)
\(\Leftrightarrow\)\(6.x=50-20\)
\(\Leftrightarrow\)\(6.x=30\)
\(\Leftrightarrow\)\(x=5\)
\(b)\)\(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+100\right)=7450\)
\(\Leftrightarrow\)\(100x+\left(1+2+3+...+100\right)=7450\)
\(\Leftrightarrow\)\(100x+5050=7450\)
\(\Leftrightarrow\)\(100x=7450-5050\)
\(\Leftrightarrow\)\(100x=2400\)
\(\Leftrightarrow\)\(x=24\)
b.
(x+1)+(x+2)+...+(x+100)=7450
=> 100x + (1+2+3+...+100)=7450
=>100x + (100+1).50=7450
=>100x=2400
=>x=24
(x+1)+(x+2)+(x+3)+...+(x+99)+(x+100)=50
100x+5050=50
100x=-5000
x=-50
` (3/4 +x) xx 50/100 = 8/10`
`( 3/4 + x) xx 1/2 = 4/5`
` 3/4 + x = 4/5 : 1/2`
` 3/4 + x = 4/5 xx2`
` 3/4 + x = 8/5`
` x = 8/5 - 3/4`
` x = 17/20`
a) x +60+40 =400
x = 400-40-60
x =300
b) (x+25) + 50 = 100:2 +30
(x+25) +50 = 50+30=80
x+25 = 80-50=30
x =30-25
x = 5
a.x+60+40=200
x+100=200
x=200-100
x=100
b.x+25+50=100:2+30
x+75=50+30
x+75=80
x=80-75
x=5
mk nhanh nhất
\(\left(x-1\right)+\left(x-2\right)+...+\left(x-100\right)=50\)
\(x.100-\left(1+2+...+100\right)=50\)
\(x.100-\left(\left(100+1\right).100:2\right)=50\)
\(x.100-\left(101.100:2\right)=50\)
\(x.100-5050=50\)
\(x.100=50+5050\)
\(x.100=5100\)
\(x=5100:100\)
\(x=51\)