(x-1)^2=9.(x+1)^2
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1/2* x+2/3=9/2
1/2 * x = 9/2 - 2/3
1/2 * x= 23/6
x= 23/6 : 1/2
x= 23/6 x 2= 23/3
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1/2*x-1/3=2/3
1/2*x = 2/3 + 1/3
1/2 * x= 1
x= 1: 1/2
x= 2
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1/4+3/4:x=3
3/4 : x = 3 - 1/4
3/4 : x= 11/4
x= 11/4 : 3/4
x= 11/3
\(\dfrac{1}{2}\)\(\times\)\(x\) + \(\dfrac{2}{3}\) = \(\dfrac{9}{2}\)
\(\dfrac{1}{2}\)\(\times\)\(x\) = \(\dfrac{9}{2}\) - \(\dfrac{2}{3}\)
\(\dfrac{1}{2}\)\(\times\)\(x\) = \(\dfrac{23}{6}\)
\(x\) = \(\dfrac{23}{6}\):\(\dfrac{1}{2}\)
\(x\) = \(\dfrac{23}{3}\)
\(\dfrac{1}{2}\)\(\times\)\(x\) - \(\dfrac{1}{3}\) = \(\dfrac{2}{3}\)
\(\dfrac{1}{2}\)\(\times\)\(x\) = \(\dfrac{2}{3}\) + \(\dfrac{1}{3}\)
\(\dfrac{1}{2}\times\)\(x\) = 1
\(x\) = 1 : \(\dfrac{1}{2}\)
\(x\) = 2
\(\dfrac{1}{4}\) + \(\dfrac{3}{4}\): \(x\) = 3
\(\dfrac{3}{4}\): \(x\) = 3 - \(\dfrac{1}{4}\)
\(\dfrac{3}{4}\):\(x\) = \(\dfrac{11}{4}\)
\(x\) = \(\dfrac{3}{4}\): \(\dfrac{11}{4}\)
\(x\) = \(\dfrac{3}{11}\)
\(\frac{2}{9}\div\frac{2}{9}\times\frac{1}{2}\)
\(=\frac{2}{9}\times\frac{9}{2}\times\frac{1}{2}\)
\(=\frac{2\times9\times1}{9\times2\times2}\)
\(=\frac{1}{2}\)
TL
\(\frac{2}{9}:\frac{2}{9}x\frac{1}{2}\)
=1X\(\frac{1}{2}\)
=\(\frac{1}{2}\)
A) \(x-\dfrac{2}{3}=\dfrac{4}{5}\\ x=\dfrac{4}{5}+\dfrac{2}{3}\)
\(x=\dfrac{22}{15}\)
b)\(\dfrac{7}{9}-x=\dfrac{1}{3}\\ x=\dfrac{7}{9}-\dfrac{1}{3}\\ x=\dfrac{4}{9}\)
C)\(x:\dfrac{2}{3}=\dfrac{9}{8}\\ x=\dfrac{9}{8}x\dfrac{2}{3}\\ x=\dfrac{3}{4}\)
\(3\left(x-2\right)^2+9\left(x-1\right)=3\left(x^2+x-3\right)\\ \Leftrightarrow3\left(x^2-4x+4\right)+9x-9=3x^2+3x-9\\ \Leftrightarrow3x^2-12x+12+9x-9-3x^2-3x+9=0\\ \Leftrightarrow-6x+12=0\\ \Leftrightarrow x=2\)
\(3\left(x-2\right)^2+9\left(x-1\right)=3\left(x^2+x-3\right)\)
\(\Leftrightarrow3\left(x^2-4x+4\right)+9x-9=3x^2+3x-9\)
\(\Leftrightarrow3x^2-12x+12+9x-9-3x^2-2x+9=0\)
\(\Leftrightarrow-6x-6=0\)
\(\Leftrightarrow-6\left(x+1\right)=0\)
\(\Leftrightarrow x+1=0\)
\(\Leftrightarrow x=-1\)
Vậy phương trình có nghiệm là \(-1\)
\(\left(x+\dfrac{1}{5}\right)^2=\dfrac{9}{25}\)
\(\left(x+\dfrac{1}{5}\right)^2=\left(\dfrac{3}{5}\right)^2\)
➩ \(x+\dfrac{1}{5}=\dfrac{3}{5}\)
\(x=\dfrac{3}{5}-\dfrac{1}{5}\)
\(x=\dfrac{2}{5}\)
a)4.(x-3)=7.2-1.10
4.(x-3)=14-10
4.(x-3)=4
x-3=4:4
x-3=1
x=1+3
x=4
b)2.(x-51)=2.2.3+20
2.(x-51)=32
x-51=32:2
x-51=16
x=16+51
x=67
c)9.x-1=9
9.x=9+1
9.x=10
x=10:9
x=1,1111111...
(x-2).4=16
x-2=16:4
x-2=4
x=4+2
x=6
(x - 1)2 = 9.(x + 1)2
<=> (x - 1)2 = [3(x + 1)]2
<=> (x - 1)2 = (3x + 3)2
<=> (x - 1)2 - (3x + 3)2 = 0
<=> (x - 1 + 3x + 3)(x - 1 - 3x - 3) = 0
<=> (4x + 2)(-2x - 4) = 0
<=> \(\orbr{\begin{cases}4x+2=0\\-2x-4=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-\frac{1}{2}\\x=-2\end{cases}}\)
Vậy \(x\in\left\{-\frac{1}{2};-2\right\}\)là nghiệm phương trình
thank nha !