3/x+2 = 5/2x+1
Tim x
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a,123-5(x+4)=28
(=)5(x+4)=85
(=) x+4=17
(=) x=13
b,10+2x=2.\(\left(3^2-1\right)\)
(=) 10+2x=16
(=) 2x = 6
(=)x=3
A, 123-5.(x+4)=38
5.(x+4)=123-38
5.(x+4) =85
(x+4)=85:5
(x+4)=17
x =17-4
x =13
B, 10+2x=2(\(3^2-1\))
10+2x=2.8
10+2x=16
2x=16-10
2x=6
x=6:2
x =3
a: \(\Leftrightarrow x^2+5x+6-\left(x^2+3x-10\right)=6\)
\(\Leftrightarrow x^2+5x+6-x^2-3x+10=6\)
=>2x+16=6
=>2x=-10
hay x=-5
b: \(\Leftrightarrow3\left(x-1-4x^2+4x\right)+4\left(3x^2+9x-2x-6\right)=-27\)
\(\Leftrightarrow3\left(-4x^2+5x-1\right)+4\left(3x^2+7x-6\right)=-27\)
\(\Leftrightarrow-12x^2+15x-3+12x^2+28x-24=-27\)
=>43x=0
hay x=0
c: \(\Leftrightarrow5\left(2y^2+4y+3y+6\right)-2\left(5y^2-5y-4y+4\right)=75\)
\(\Leftrightarrow10y^2+35y+30-10y^2+18y-8=75\)
=>53y=53
hay y=1
d: \(\Leftrightarrow6x^2+27x+4x+18-\left(6x^2+x+12x+2\right)=x+1-x+6=7\)
\(\Leftrightarrow6x^2+31x+18-6x^2-13x-2=7\)
=>18x+16=7
=>18x=-9
hay x=-1/2
a) |x| + |-5| = |-37|
<=> |x| + 5 = 37
<=> |x| = 37 - 5 = 32
=> x \(\in\) {32 ; -32}
b)|-6| . |x| = |54|
<=> 6 . |x| = 54
|x| = 54 : 6 = 9
=> x \(\in\){9;-9}
\(\frac{x+1}{9}+\frac{x+2}{8}=\frac{x+3}{7}+\frac{x+4}{6}\)
\(\Rightarrow\frac{x+1}{9}+1+\frac{x+2}{8}+1=\frac{x+3}{7}+1+\frac{x+4}{6}+1\)
\(\Rightarrow\frac{x+10}{9}+\frac{x+10}{8}=\frac{x+10}{7}+\frac{x+10}{6}\)
\(\Rightarrow\frac{x+10}{9}+\frac{x+10}{8}-\frac{x+10}{7}-\frac{x+10}{6}=0\)
\(\Rightarrow\left(x+10\right)\left(\frac{1}{9}+\frac{1}{8}-\frac{1}{7}-\frac{1}{6}\right)=0\)
\(\Rightarrow x+10=0\) vì \(\frac{1}{9}+\frac{1}{8}-\frac{1}{7}-\frac{1}{6}\ne0\)
\(\Rightarrow x=-10\)
đk : x khác -2 ; -1/2
\(\Rightarrow6x+3=5x+10\Leftrightarrow x=7\left(tmđk\right)\)
ĐKXĐ:\(x\ne-2,x\ne-\dfrac{1}{2}\)
\(\dfrac{3}{x+2}=\dfrac{5}{2x+1}\\ \Leftrightarrow3\left(2x+1\right)=5\left(x+2\right)\\ \Leftrightarrow6x+3=5x+10\\ \Leftrightarrow x=7\left(tm\right)\)