1/3-4/9xX=3/5
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a)\(\frac{5}{9}\times x-1=\frac{8}{9}\)
\(\frac{5}{9}\times x=\frac{8}{9}+1\)
\(\frac{5}{9}\times x=\frac{17}{9}\)
\(x=\frac{17}{9}:\frac{5}{9}\)
\(x=\frac{17}{5}\)
\(\left(\frac{3}{9}.x-5\right)^2=\frac{9}{49}\)
\(\Rightarrow\orbr{\begin{cases}\frac{3}{9}x-5=\frac{3}{7}\\\frac{3}{9}x-5=-\frac{3}{7}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}\frac{3}{9}x=\frac{3}{7}+5\\\frac{3}{9}x=-\frac{3}{7}+5\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}\frac{3}{9}x=\frac{38}{7}\\\frac{3}{9}x=\frac{32}{7}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{114}{7}\\x=\frac{96}{7}\end{cases}}\)
Vậy \(\orbr{\begin{cases}x=\frac{114}{7}\\x=\frac{96}{7}\end{cases}}\)
Chúc bạn học tốt !!!!
x2-x3-9y+9x=-x3+x2+9x-9-9y+9=(x-1)(-x2+9-9)=-x2(x-1).
x2(x-1)+16(x-1)=(x-1)(x2+16)
a: \(\Leftrightarrow3x+9=-2x+6\)
=>5x=-3
hay x=-3/5
b: =>3/x=y/35=3/7
=>x=7; y=15
c: =>9x/5=-3/5
=>9x=-3
hay x=-1/3
d: =>x+2/26=-1/4
=>x+2=-13/2
hay x=-17/2
a: \(x^2+6x+9=x^2+2\cdot x\cdot3+3^2=\left(x+3\right)^2\)
2: \(\frac{x}{x-2y}+\frac{x}{x+2y}+\frac{4xy}{4y^2-x^2}\)
\(=\frac{x\left(x+2y\right)+x\left(x-2y\right)-4xy}{\left(x-2y\right)\left(x+2y\right)}\)
\(=\frac{x^2+2xy+x^2-2xy-4xy}{\left(x-2y\right)\left(x+2y\right)}=\frac{2x^2-4xy}{\left(x-2y\right)\left(x+2y\right)}\)
\(=\frac{2x\left(x-2y\right)}{\left(x-2y\right)\left(x+2y\right)}=\frac{2x}{x+2y}\)
c: \(\frac{x}{5x+5}-\frac{x}{10x-10}\)
\(=\frac{x}{5\left(x+1\right)}-\frac{x}{10\left(x-1\right)}\)
\(=\frac{2x\left(x-1\right)-x\left(x+1\right)}{10\left(x+1\right)\left(x-1\right)}=\frac{2x^2-2x-x^2-x}{10\left(x+1\right)\left(x-1\right)}\)
\(=\frac{x^2-3x}{10\left(x+1\right)\left(x-1\right)}\)
`1/3 - 4/9 xx x =3/5`
`=> 4/9 xx x =1/3-3/5`
`=> 4/9 xx x = 5/15 -9/15`
`=> 4/9 xx x = -4/15`
`=>x= -4/15 : 4/9`
`=>x=-4/15 xx 9/4`
`=>x=-3/5`