tim x biết 5.|x-2| = |4x+2| +11
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a) 13 - ( 2x - 11 ) = -15
=> 2x - 11 = 13 - ( -15 )
=> 2x - 11 = 28
=> 2x = 28 + 11
=> 2x = 39
=> x = 39 : 2
=> x = 19,5
Mấy câu khác bn tự giải nha!Cũng tương tự như vậy thôi!
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\(\frac{\left[4x+5\right]}{3}-\frac{121}{11}=4\)
<=> \(\frac{4x+5}{3}-11=4\)
\(\frac{4x+5}{3}=11+4=15\)
4x + 5 = 15 x 3 = 45
4x = 45 - 5 = 40
x = 40 : 4 = 10
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\(\sqrt{4x^2-4x+1}< 5-x\)
\(\Leftrightarrow\sqrt{\left(2x-1\right)^2}< 5-x\)
\(\Leftrightarrow\left|2x-1\right|< 5-x\)(1)
Đk : \(5-x\ge0\Leftrightarrow x\le5\)
(1)\(\Rightarrow\orbr{\begin{cases}2x-1=5-x\\2x-1=x-5\end{cases}\Leftrightarrow\orbr{\begin{cases}x=2\left(n\right)\\x=-4\left(n\right)\end{cases}}}\)
Vậy \(x\in\left\{-4;2\right\}\)
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\(\left(x+\frac{2}{3}\right)\left(\frac{5}{4}-2x\right)>0\)
th1 :
\(\hept{\begin{cases}x+\frac{2}{3}>0\\\frac{5}{4}-2x>0\end{cases}\Rightarrow\hept{\begin{cases}x>-\frac{2}{3}\\-2x>-\frac{5}{4}\end{cases}\Rightarrow}\hept{\begin{cases}x>-\frac{2}{3}\\x>\frac{5}{8}\end{cases}\Rightarrow}x>\frac{5}{8}}\)
th2 :
\(\hept{\begin{cases}x+\frac{2}{3}< 0\\\frac{5}{4}-2x< 0\end{cases}\Rightarrow\hept{\begin{cases}x< -\frac{2}{3}\\-2x< -\frac{5}{4}\end{cases}\Rightarrow}\hept{\begin{cases}x< -\frac{2}{3}\\x< \frac{5}{8}\end{cases}\Rightarrow}x< -\frac{2}{3}}\)
vậy_
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=>8x-4x2+3x2-15x=14
=>x2-7x=14
=>x(x-7)=14
+ x=14
+x-7=14 =>x=21
vậy pt có 2 nghiệm là x=14 và x=21
cho mình nhé bạn
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a) 2x(x - 5) - 2x2 = 2x2 - 10x - 2x2 = -10x = 20 => x = 20 : (-10) = -2
b) 5x(2x - 7) + 2x(8 - 5x) = 10x2 - 35x + 16x - 10x2 = -19x = 5 => x = \(\frac{5}{-19}=\frac{-5}{19}\)
c) 4x(7x - 5) - 7x(4x - 2) = 28x2 - 20x - 28x2 + 14x = -6x = -12 => x = -12 : (-6) = 2
MK mới học lớp 7 thôi nhưng mk làm vài câu nha
a) 2x(x-5)-2x2=20
2x2-100x-2x2=20
100x=20
x=20:100
x=\(\frac{1}{5}\)
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1.a)x+7=-5-14
x+7=-19
x=-19-7
x=-26
Vậy x=-26
b)3x-4=(-2)3-11
3x-8=-11
3x=-11+8
3x=-3
x=-3:3
X=-1
Vậy x=-1
c)11+(4x-11)=-9-(-15)
11+(4x-11)=-9+15
11+(4x-11)=6
4x-11=6-11
4x=6
x=\(\dfrac{6}{4}\)
Vậy x=\(\dfrac{6}{4}\)
d)\(\left|2x-1\right|=5\)
⇒2x-1=\(\pm5\)
+Nếu 2x-1=5
2x=6
x=6:2
x=3
Vậy x=3
+Nếu 2x-1=-5
2x=-5+1
2x=-4
x=-4:2
x=-2
Vậy xϵ{3;-2}
e)\(\left|x-7\right|+3=25\)
\(\left|x-7\right|=22\)
⇒x-7=\(\pm22\)
+Nếu x-7=22
x=22+7=29
+Nếu x-7=-22
x=-22+7
x=-15
Vậy xϵ{29;-15}