-15/4x-16/25
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\(x\cdot\left(x-100\right)=0\\ =>\left[{}\begin{matrix}x=0\\x-100=0\end{matrix}\right.=>\left[{}\begin{matrix}x=0\\x=100\end{matrix}\right.\)
vậy phương trình có 2 nghiệm là: \(x_1=0;x_2=100\)
Ta có: x(x-100)=0
\(\rArr\) \(\left[\begin{array}{l}x=0\\ x-100=0\end{array}\right.\) \(\rArr\) \(\left[\begin{array}{l}x=0\\ x=100\end{array}\right.\)
Vậy pt có 2 nghiệm x=0 hoặc x=100
Tìm y:
\(\frac34\) + \(\frac{3}{28}\) + \(\frac{3}{70}\) + \(\frac{3}{130}\) + ... + \(\frac{3}{y}\) = \(\frac{33}{34}\)
\(\frac{3}{1.4}\) + \(\frac{3}{4.7}\) + \(\frac{3}{7.10}\) + \(\frac{3}{10.13}\) + ... + \(\frac{3}{y}\) = \(\frac{33}{34}\)
Xét dãy số: 1; 4; 7; 10;...
mst1 = 1 = 3 - 2
mst2 = 4 = 3.2 - 2
mst3 = 7 = 3.3 - 2
mst4 = 10 = 3.4 - 2
.................................
stn = 3.n - 2
Xét dãy số: 4; 7; 10;...
mst1 = 4 = 3 + 1
mst2 = 7 = 3.2 + 1
...................................
mstn = (3.n + 1)
VT = \(\frac{3}{1.4}\) + \(\frac{3}{4.7}\) + ... + \(\frac{3}{\left(3n-2\right).\left(3n+1\right)}\)
Theo bài ra ta có: \(\frac{3}{1.4}+\frac{3}{4.7}+\cdots+\frac{3}{\left(3n-2\right)\left(3n+1\right)}\) = \(\frac{33}{34}\)
\(\frac11-\frac14\) + \(\frac14-\frac17\)+ ... + \(\frac{1}{3n-2}\) - \(\frac{1}{3n+1}\) = \(\frac{33}{34}\)
\(\frac11\) - \(\frac{1}{3n+1}\) = \(\frac{33}{34}\)
\(\frac{1}{3n+1}\) = 1 - \(\frac{33}{34}\)
\(\frac{1}{3n+1}\) = \(\frac{1}{34}\)
3n + 1 = 34
3n = 34 - 1
3n = 33
n = 33: 3
n = 11
y = (3n - 2),(3n + 1)
y = (3.11 - 2).(3.11 + 1)
y = (33 - 2).(33 + 1)
y = 31.34
y = 1054
\(\frac34+\frac{3}{28}+\frac{3}{70}+\frac{3}{130}+\ldots+\frac{3}{y}=\frac{33}{34}\)
\(\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+\frac{3}{10.13}+\cdots+\frac{3}{y}=\frac{33}{44}\)
\(\frac{4-1}{1.4}+\frac{7-4}{4.7}+\frac{10-7}{7.10}+\frac{13-10}{10.13}+\cdots+\frac{3}{y}=\frac{33}{34}\)
\(1-\frac14+\frac14-\frac17+\frac17-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+\cdots+\frac{3}{y}=\frac{33}{34}\)
\(1+\frac{3}{y}=\frac{33}{34}\)
\(\frac{3}{y}=\frac{33}{34}-1\)
\(\frac{3}{y}=\frac{-1}{34}\) \(\Rightarrow y=\frac{3.34}{-1}\)
\(y=-102\)
Vậy \(y=-102\)
`3/4 + 3/28 + 3/70 + 3/130 + ... +3/y = 33/34`
`=> 3/(1*4) + 3/(4*7) + 3/(7*10) + 3/(10*13) + ... + 3/y = 33/34`
`=> 1 - 1/4 + 1/4 - 1/7 + 1/7 - 1/10 + 1/10 - 1/13 + .... + 3/y = 33/34`
`=> 1 + 3/y = 33/34`
`=> 3/y = 33/34 - 1`
`=> 3/y = 33/34 - 34/34`
`=> 3/y = -1/34`
`=> 3 : y = -1/34`
`=> y = 3: -1/34`
`=> y = 3 xx -34`
`=> y = -102`
Vậy `y = -102`
`(26x + 1392) xx 15 =2595`
`=> 26x + 1392 = 2592 : 15`
`=> 26x +1392 = 173`
`=> 26x = 173 - 1392`
`=> 26x =-1219`
`=> x = -1219 : 26`
`=> x = -1219/26`
Vậy `x = -1219/26`
a) (26*x+1392)*15=2595
26*x+1392 =2595:15
26*x+1392 =173
26*x =173-139
26*x =-1219
x =-1219:26
rồi tự tính:)))))))))))))))))))))))
\(-\dfrac{15}{4}\cdot\left(-\dfrac{16}{25}\right)=\dfrac{12}{5}\)