\(\frac{11x-2}{7x-5}\)=\(\frac{11}{8}\)
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25 tháng 7 2018
1. <=>15 (2x+4)= 7(4x-2)
<=>30x+60= 28x-14
<=>2x= -74
<=>x= -37
2. <=> -5(12-7x)= -13(4-3x)
<=> -60+35x = -52+39x
<=> -4x= 8
<=> x= -2
3.<=> 88x-16 = 77x+55
<=> 11x= 71
<=> x=71/11
CW
2 tháng 7 2016
\(\frac{2x}{3}=\frac{7x-3}{15}\)
\(\Rightarrow30x=3\left(7x-3\right)\)
\(30x=21x-9\)
\(9x=-9\)
\(x=-1\)
\(\frac{11x-2}{7x+5}=\frac{11}{8}\)
\(\Rightarrow8\left(11x-2\right)=11\left(7x+5\right)\)
\(88x-16=77x+55\)
\(11x=71\)
\(x=\frac{71}{11}\)
\(\frac{2x+3}{3x+1}=\frac{3}{4}\)
\(\Rightarrow4\left(2x+3\right)=3\left(3x+1\right)\)
\(8x+12=9x+3\)
\(-x=-9\)
\(x=9\)
3 tháng 7 2016
mk lộn đề câu a
bn giải lại giùm mk nha
\(\frac{2x+3}{6}=\frac{7x-3}{15}\)
29 tháng 2 2020
\(\Leftrightarrow\frac{1}{\left(x+2\right)\left(x+3\right)}+\frac{1}{\left(x+3\right)\left(x+4\right)}+\frac{1}{\left(x+4\right)\left(x+5\right)}+\frac{1}{\left(x+5\right)\left(x+6\right)}=\frac{1}{8}\)
\(\Leftrightarrow\frac{1}{x+2}-\frac{1}{x+3}+....+\frac{1}{x+5}-\frac{1}{x+6}=\frac{1}{8}\)
\(\Leftrightarrow\frac{1}{x+2}-\frac{1}{x+6}=\frac{1}{8}\)
\(\Leftrightarrow\frac{4}{\left(x+2\right)\left(x+6\right)}=\frac{4}{32}\)
\(\Rightarrow x^2+8x+12=32\)
\(\Leftrightarrow x^2+8x-20=0\)
Đến đây đơn giản rồi nhé
29 tháng 2 2020
\(\frac{1}{x^2+5x+6}+\frac{1}{x^2+7x+12}+\frac{1}{x^2+9x+20}+\frac{1}{x^2+11x+30}=\frac{1}{8}\)
\(\Leftrightarrow\frac{1}{\left(x+2\right)\left(x+3\right)}+\frac{1}{\left(x+3\right)\left(x+4\right)}+\frac{1}{\left(x+4\right)\left(x+5\right)}+\frac{1}{\left(x+5\right)\left(x+6\right)}=\frac{1}{8}\)
\(\Leftrightarrow\frac{1}{x+2}-\frac{1}{x+3}+\frac{1}{x+3}-\frac{1}{x+4}+\frac{1}{x+4}-\frac{1}{x+5}+\frac{1}{x+5}-\frac{1}{x+6}=0\)
\(\Leftrightarrow\frac{1}{x+2}-\frac{1}{x+6}=0\)
\(\Leftrightarrow\frac{1}{x+2}=\frac{1}{x+6}\)
\(\Leftrightarrow x+6=x+2\)
\(\Leftrightarrow x-x=2-6\)
\(\Leftrightarrow0x=-4\)
=> PT vô nghiệm
DP
21 tháng 7 2017
a)
\(\frac{x-3}{x+5}=\frac{5}{7}\)
\(\Leftrightarrow\left(x-3\right).7=5.\left(x+5\right)\)
\(\Leftrightarrow7x-21=25+5x\)
\(\Leftrightarrow7x-5x=25+21\)
\(\Leftrightarrow2x=46\)
\(\Leftrightarrow x=23\)
b)
\(\frac{7}{x-1}=\frac{x+1}{9}\)
\(\Leftrightarrow\left(x+1\right)\left(x-1\right)=7.9\)
\(\Leftrightarrow x^2-1=63\)
\(\Leftrightarrow x^2=64\)
\(\Leftrightarrow x=8\)
Mẫy bài còn lại làm tương tự
28 tháng 6 2019
\(c,\frac{x-1}{x+2}=\frac{x-2}{x+3}\)
\(\Leftrightarrow(x-1)(x+3)=(x-2)(x+2)\)
\(\Leftrightarrow x^2+2x-3=x^2-4\)
\(\Leftrightarrow x^2+2x-3-x^2=-4\)
\(\Leftrightarrow x^2-x^2+2x-3=-4\)
\(\Leftrightarrow2x-3=-4\Leftrightarrow2x=-1\Leftrightarrow x=-\frac{1}{2}\)
NV
Nguyễn Việt Lâm
Giáo viên
8 tháng 3 2019
ĐK: \(x\ne-2;-3;-4;-5;-6\)
\(\frac{1}{\left(x+2\right)\left(x+3\right)}+\frac{1}{\left(x+3\right)\left(x+4\right)}+\frac{1}{\left(x+4\right)\left(x+5\right)}+\frac{1}{\left(x+5\right)\left(x+6\right)}=\frac{1}{8}\)
\(\Leftrightarrow\frac{1}{x+2}-\frac{1}{x+3}+\frac{1}{x+3}-\frac{1}{x+4}+\frac{1}{x+4}-\frac{1}{x+5}+\frac{1}{x+5}-\frac{1}{x+6}=\frac{1}{8}\)
\(\Leftrightarrow\frac{1}{x+2}-\frac{1}{x+6}=\frac{1}{8}\)
\(\Leftrightarrow\frac{4}{\left(x+2\right)\left(x+6\right)}=\frac{1}{8}\Leftrightarrow\left(x+2\right)\left(x+6\right)=32\)
\(\Leftrightarrow x^2+8x-20=0\Rightarrow\left[{}\begin{matrix}x=2\\x=-10\end{matrix}\right.\)
LA
8 tháng 3 2019
\(...\Leftrightarrow\frac{1}{\left(x+2\right) \left(x+3\right)}+\frac{1}{\left(x+3\right)\left(x+4\right)}+\frac{1}{\left(x+4\right)\left(x+5\right)}+\frac{1}{\left(x+5\right)\left(x+6\right)}=\frac{1}{8}\)
\(\Leftrightarrow\frac{1}{x+2}-\frac{1}{x+3}+\frac{1}{x+3}-\frac{1}{x+4}+\frac{1}{x+4}-\frac{1}{x+5}+\frac{1}{x+5}-\frac{1}{x+6}=\frac{1}{8}\)
\(\Leftrightarrow\frac{1}{x+2}-\frac{1}{x+6}=\frac{1}{18}\Leftrightarrow\frac{x+6}{\left(x+2\right)\left(x+6\right)}-\frac{x+2}{\left(x+2\right)\left(x+6\right)}=\frac{1}{18}\)
\(\Leftrightarrow\frac{x+6-x-2}{\left(x+2\right)\left(x+6\right)}=\frac{1}{18}\Rightarrow\frac{4}{\left(x+2\right)\left(x+6\right)}=\frac{1}{18}\)
\(\Rightarrow\left(x+2\right)\left(x+6\right)=72\)
=> \(x^2+8x-60=0\)
Phân tich đa thức thành nhân tử để tìm x
7 tháng 11 2017
pt <=> 1/(x+2).(x+3) + 1/(x+3).(x+4) + 1/(x+4).(x+5) + 1/(x+5).(x+6) = 1/8
<=> 1/x+2 - 1/x+3 + 1/x+3 - 1/x+4 + 1/x+4 - 1/x+5 + 1/x+5 - 1/x+6 = 1/8
<=> 1/x+2 - 1/x+6 = 1/8
<=> (x+6-x-2)/(x+2).(x+6) = 1/8
<=> 4/(x+2).(x+6) = 1/8
<=>(x+2).(x+6) = 4 : 1/8 = 32
<=>x^2 + 8x + 12 = 32
<=> x^2+8x+12-32=0
<=>x^2+8x-20=0
<=>(x-2).(x+10)=0
<=> x-2 =0 hoặc x+10 = 0
<=> x=2 hoặc x=-10
28 tháng 12 2019
giang sinh an lanh $%###Xuyen gam cu chuoi###%$
13 tháng 10 2019
1) \(\frac{2x+3}{6}=\frac{7x-3}{-5}\)
\(-5\left(2x+3\right)=6\left(7x-3\right)\)
\(-10x-15=42x-18\)
\(52x=3\)
\(x=\frac{3}{52}\)
2) \(\frac{12-7x}{-13}=\frac{4-3x}{-5}\)
\(-5\left(12-7x\right)=-13\left(4-3x\right)\)
\(-60+35x=-52+39x\)
\(39x-35x=-60+52\)
\(4x=-8\)
\(x=-2\)
\(\frac{11x-2}{7x-5}=\frac{11}{8}\)
\(\Leftrightarrow8\left(11x-2\right)=11\left(7x-5\right)\)
\(\Leftrightarrow88x-16=77x-55\)
\(\Leftrightarrow88x-77x=-55+16\)
\(\Leftrightarrow11x=-39\)
\(\Leftrightarrow x=\frac{-39}{11}\)
\(\frac{12x-2}{7x-8}=\frac{11}{8}\)
\(\Rightarrow8\left(12x-2\right)=11\left(7x-8\right)\)
\(\Rightarrow96x-16=77x-88\)
\(\Rightarrow96x-77x=-88+16\)
\(\Rightarrow19x=-72\)
\(\Rightarrow x=-\frac{72}{19}\)