\(x^5=x^4+x^3+x^2+x+2\) 2 ae giup mik vs nhe
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KT
13 tháng 1 2019
\(\frac{x-5}{100}+\frac{x-4}{101}+\frac{x-3}{102}=\frac{x-100}{5}+\frac{x-101}{4}+\frac{x-102}{3}\)
<=> \(\frac{x-5}{100}-1+\frac{x-4}{101}-1+\frac{x-3}{102}-1=\frac{x-100}{5}-1+\frac{x-101}{4}-1+\frac{x-102}{3}-1\)
<=> \(\frac{x-105}{100}+\frac{x-105}{101}+\frac{x-105}{102}=\frac{x-105}{5}+\frac{x-105}{4}+\frac{x-105}{3}\)
<=> \(\left(x-105\right)\left(\frac{1}{100}+\frac{1}{101}+\frac{1}{102}-\frac{1}{5}-\frac{1}{4}-\frac{1}{3}\right)=0\)
Nhận thấy: \(\frac{1}{100}+\frac{1}{101}+\frac{1}{102}+\frac{1}{5}-\frac{1}{4}-\frac{1}{3}\ne0\)
=> \(x-105=0\)
<=> \(x=105\)
14 tháng 1 2019
\(\frac{x-5}{100}+\frac{x-4}{101}+\frac{x-3}{102}=\frac{x-100}{5}+\frac{x-101}{4}+\frac{x-102}{3}\)
\(\Leftrightarrow\frac{x-5}{100}+\frac{x-4}{101}+\frac{x-3}{102}-\frac{x-100}{5}-\frac{x-101}{4}-\frac{x-102}{3}=0\)
\(\Leftrightarrow\left(\frac{x-5}{100}-1\right)+\left(\frac{x-4}{101}-1\right)+\left(\frac{x-3}{102}-1\right)-\left(\frac{x-100}{5}-1\right)-\left(\frac{x-101}{4}-1\right)-\left(\frac{x-102}{3}-1\right)=0\)
\(\Leftrightarrow\frac{x-105}{100}+\frac{x-105}{101}+\frac{x-105}{102}-\frac{x-105}{5}-\frac{x-105}{4}-\frac{x-105}{3}=0\)
\(\Leftrightarrow\left(x-105\right)\left(\frac{1}{100}+\frac{1}{101}+\frac{1}{102}-\frac{1}{5}-\frac{1}{4}-\frac{1}{3}\right)=0\)
\(\Leftrightarrow x-105=0\left(Vì\frac{1}{100}+\frac{1}{101}+\frac{1}{102}-\frac{1}{5}-\frac{1}{4}-\frac{1}{3}\ne0\right)\)
\(\Leftrightarrow x=105\)
7 tháng 6 2020
Đề bài: Tìm x
Ta có : \(\frac{3}{x-5}=\frac{-4}{x+2}\)
\(\Rightarrow3\left(x+2\right)=-4\left(x-5\right)\)
\(3x+6=-4x+20\)
\(3x+4x=-6+20\)
\(7x=14\)
\(x=14\div7\)
\(x=2\)
Vậy \(x=2\).
BA
7 tháng 6 2020
\(\frac{3}{x-5}=\frac{-4}{x+2}\)
\(\Rightarrow3x+6=-4x+20\)
\(\Rightarrow7x=14\)
\(\Rightarrow x=2\)
HP
2
LM
26 tháng 8 2016
7(2x - 5) - 5(7x - 2) + 2(5x - 7) = (x + 2) - (x + 4)
=> 14x - 35 - 35x + 10 + 10x -14 = x + 2 - x - 4
=> (14x - 35x + 10x) + (-35 + 10 - 14) = -2
=> -11x + (-39) = -2
=> -11x = -2 - (-39)
=> -11x = 37
=> x = \(\frac{-37}{11}\)
NP
Ng. Phạm Duy Anh
VIP
2 tháng 6 2023
7(2x - 5) - 5(7x - 2) + 2(5x - 7) = (x + 2) - (x + 4)
=> 14x - 35 - 35x + 10 + 10x -14 = x + 2 - x - 4
=> (14x - 35x + 10x) + (-35 + 10 - 14) = -6
=> -11x - 39 = -6
=> -11x = -6+39
=> -11x = 33
=> x = 33:(-11)
=> x = -3
XI
1
5 tháng 2 2018
BÀI \(1\):
\(\left(-1005\right).\left(x+2\right)=0\)
\(x+2=0:\left(-1005\right)\)
\(x+2=0\)
\(x=0-2\)
\(x=-2\)
BÀI \(2\):
\(x+x+x+91=-2\)
\(3x=\left(-2\right)-91\)
\(3x=-93\)
\(x=\left(-93\right):3\)
\(x=-31\)
BÀI \(3\):
\(\left|5x+1\right|=11\)
Có hai trường hợp:
\(TH^{ }1:_{ }5x+1=11\)
\(5x=11-1\)
\(5x=10\)
\(x=10:5\)
\(x=2\)
\(TH2:^{ }5x+1=-11\)
\(5x=\left(-11\right)-1\)
\(5x=-12\)
\(x=\left(-12\right):5\)
\(x=-2,4\)
\(k\)\(minh\)\(nhe\)\(.\)
13 tháng 5 2019
a, \(\left(-2\right)^2-2x^2=-50.\)
\(\Leftrightarrow4-2x^2=-50\)
\(\Leftrightarrow2x^2-54=0\)
\(\Leftrightarrow x^2-27=0\)
\(\Leftrightarrow\left(x-3\sqrt{3}\right)\left(x+3\sqrt{3}\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=3\sqrt{3}\\x=-3\sqrt{3}\end{cases}}\)
13 tháng 5 2019
\(\left(-2\right)^2-2x^2=-50\)
\(\Leftrightarrow x^2=\frac{-50-\left(-2\right)^2}{-2}\)
\(\Leftrightarrow x^2=27\)
\(\Leftrightarrow x=\pm\sqrt{27}\)
\(\Leftrightarrow x=\pm3\sqrt{3}\)
\(\frac{2}{x}-\frac{5}{x}=-9\)
\(\Leftrightarrow\frac{2-5}{x}=-9\)
\(\Leftrightarrow-3=-9x\)
\(\Leftrightarrow x=\frac{-3}{-9}=\frac{1}{3}\)
TD
5
1 tháng 8 2017
a 24x-15x=75+33
9x=108
x=108:9=12
b 3-2/5x=2/3
2/5x=3-2/3=1/3
x=1/3:2/5=5/6
Tk & kết bạn với mik nha
5 tháng 6 2019
\(\frac{x^3-x^2-x-2}{x^5-3x^4+4x^3-5x^2+3x-2}\)
\(=\frac{x^3-2x^2+x^2-2x+x-2}{x^5-2x^4-x^4+2x^3+2x^3-4x^2-x^2+2x+x-2}\)
\(=\frac{\left(x^3-2x^2\right)+\left(x^2-2x\right)+\left(x-2\right)}{\left(x^5-2x^4\right)-\left(x^4-2x^3\right)+\left(2x^3-4x^2\right)-\left(x^2-2x\right)+\left(x-2\right)}\)
\(=\frac{x^2\left(x-2\right)+x\left(x-2\right)+\left(x-2\right)}{x^4\left(x-2\right)-x^3\left(x-2\right)+2x^2\left(x-2\right)-x\left(x-2\right)+\left(x-2\right)}\)
\(=\frac{\left(x-2\right)\left(x^2+x+1\right)}{\left(x-2\right)\left(x^4-x^3+2x^2-x+1\right)}=\frac{x^2+x+1}{x^4-x^3+2x^2-x+1}\)
10 tháng 2 2019
\(\left(x-3\right)\left(x+4\right)-2\left(3x-2\right)=\left(x-4\right)^2\)
\(\Leftrightarrow\left(x-3\right)\left(x+4\right)-2\left(3x-2\right)-\left(x-4\right)^2=0\)
\(\Leftrightarrow3x-24=0\Leftrightarrow x=8\)
