0.5x^2=3/2x+1
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\(\frac{x+1}{2x+1}=\frac{0,5x+2}{x+3}\Rightarrow\left(x+1\right)\left(x+3\right)=\left(0,5x+2\right)\left(2x+1\right)\)
\(\Rightarrow x^2+3x+x+3=x^2+0,5x+4x+2\)
\(\Rightarrow x^2+3x+x-x^2-0,5x-4x=2-3\)
\(\Rightarrow-\frac{1}{2}x=-1\)
\(\Rightarrow x=2\)
\(\frac{x+1}{2x+1}=\frac{0,5x+2}{x+3}\)
\(\Rightarrow\left(x+1\right)\left(x+3\right)=\left(2x+1\right)\left(0,5x+2\right)\)
\(\Rightarrow x^2+3x+x+3=x^2+4x+0,5x+2\)
\(\Rightarrow x^2+3x+x+3-x^2-4x-0,5x-2=0\)
\(\Rightarrow1-0,5x=0\)
\(\Rightarrow\frac{1}{2}x=1\Leftrightarrow x=2\)
\(\Leftrightarrow\left(x+1\right)\left(x+3\right)=\left(2x+1\right)\left(x+3\right)\)
\(\Leftrightarrow x^2+4x+3=x^2+4.5x+2\)
\(\Leftrightarrow0.5x+2=3\Leftrightarrow0.5x=1\Leftrightarrow x=2\)
\(\frac{x+1}{2x+1}\)\(=\)\(\frac{0,5x+2}{x+3}\)
=> (x+1).(x+3) = (2x+1).(0,5x+2)
=> x2+4x+3 = x2+4,5x+2
=> x2+4x-x2-4,5x = 2-3
=> -0,5x = -1
=> x = -1:-0,5
=> x = 2
1,3x+2/5x+7 =3x-1/5x+1
<=> 1,3x+2/5x-3x+1/5x = 1-7
<=> (1,3+2/5-3+1/5)x = -6
<=> -11/10x=-6
<=> x= -6 : (-11/10)
<=> x= 60/11
2.x+1/2x+1 = 0,5x+2/x +3
<=> 2x+1/2x-0,5x-2/1x = 3-1
<=> x(2+1/2-0,5-2 ) =2
<=>0x =2
<=> x=0
Hinh nhu minh thay ban Kunzy Nguyen giai hoi sai
1,3x o dau ra ???????????????
1) áp dụng tính chất của dãy tỉ số bằng nhau ta có:
\(\frac{3x+2}{5x+7}=\frac{3x-1}{5x+1}=\frac{\left(3x+2\right)-\left(3x-1\right)}{\left(5x+7\right)-\left(5x+1\right)}=\frac{3x+2-3x+1}{5x+7-5x-1}=\frac{3}{6}=\frac{1}{2}\)
suy ra :
\(\frac{3x-1}{5x+1}=\frac{1}{2}\Rightarrow\left(5x+1\right).1=\left(3x-1\right).2\)
=> 5x+1=6x-2
5x-6x=-2-1
-x=-3
x=3
2)áp dụng tính chất của dãy tỉ số bằng nhau ta có;
\(\frac{x+1}{2x+1}=\frac{0,5x+2}{x+3}=\frac{\left(x+1\right)-2.\left(0,5x+2\right)}{\left(2x+1\right)-2.\left(x+3\right)}=\frac{x+1-x-4}{2x+1-2x-6}=\frac{-3}{-5}=\frac{3}{5}\)
suy ra:
\(\frac{x+1}{2x+1}=\frac{3}{5}\Rightarrow\left(2x+1\right).3=\left(x+1\right).5\)
=>6x+3=5x+5
6x-5x=5-3
x=2
\(a,\frac{-2}{3}x=8\)<=> \(x=-12\)
\(b,\frac{1}{4}:x=-3+\frac{3}{4}\)<=>\(\frac{1}{4}:x=\frac{-9}{4}\)<=>\(x=-9\)
\(c,\orbr{\begin{cases}2x-\frac{1}{3}=0\\0.5x+0.25=0\end{cases}}\)<=>\(\orbr{\begin{cases}x=\frac{1}{6}\\x=\frac{-3}{4}\end{cases}}\)
a) \(\frac{-2}{3}x+4=12\)
\(\Rightarrow\frac{-2}{3}x=12-4\)
\(\Rightarrow\frac{-2}{3}x=8\)
\(\Rightarrow x=8:\frac{-2}{3}\)
\(\Rightarrow x=-12\)
Vậy x = -12
b) \(\frac{-3}{4}+\frac{1}{4}:x=-3\)
\(\Rightarrow\frac{1}{4}:x=-3-\left(\frac{3}{4}\right)\)
\(\Rightarrow\frac{1}{4}:x=\frac{-9}{4}\)
\(\Rightarrow x=\frac{1}{4}:\frac{-9}{4}\)
\(\Rightarrow x=\frac{-1}{9}\)
Vậy \(x=\frac{-1}{9}\)
c) \(\left(2x-\frac{1}{3}\right)\left(0,5x+0,25\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2x-\frac{1}{3}=0\\0,5x+0,25=0\end{cases}}\Rightarrow\orbr{\begin{cases}2x=\frac{1}{3}\\0,5x=-0,25\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{1}{6}\\x=-0,5\end{cases}}\)
Vậy \(x=\frac{1}{6}\)hoặc \(x=-0,5\)
_Chúc bạn học tốt_
x+2=-5
x =-7
x2+2x-3=0
(=) x2-x+3x-3=0
(=) x(x-1)+3(x-1)=0
(=) (x-1)(x+3)=0
=> x-1 = 0 hoặc x+3 = 0
x = 1 x =-3
x+4 = 10
x = 6
-3x + 2 =-7
(=) -3x =-9
(=) x = 3
0.5x + 4 = -1
(=) 0.5x =-5
(=) x =-10
Chúc bạn học tốt ^^
a)x+2=-5
\(\Leftrightarrow\)x =-7
b)x2+2x-3=0
\(\Leftrightarrow\)x2-x+3x-3=0
\(\Leftrightarrow\)x(x-1)+3(x-1)=0
\(\Leftrightarrow\)(x+3)(x-1)=0
\(\Rightarrow\)x+3=0 hoặc x-1=0
\(\Rightarrow\)x=-3 hoặc x=1
c)x+4=10
\(\Leftrightarrow\)x=6
d)-3x+2=-7
\(\Leftrightarrow\)-3x =-7-2
\(\Leftrightarrow\)3x =-9
\(\Leftrightarrow\)x =-3
e)0,5x+4=-1
\(\Leftrightarrow\)0,5x =-1-4
\(\Leftrightarrow\)0,5x = -5
\(\Leftrightarrow\)x =-5:0,5
\(\Leftrightarrow\)x =-10