Параметрични уравнения

[tianka 12]

(a+x)(a-3) - (a-1)^2 =2x-1

[ammornil]

(a+x)(a-3) - (a-1)^2 =2x-1
[tex](a+x).(a-3)-(a-1)^{2 }=2.x-1 \Longrightarrow a.(a-3)+x.(a-3)-(a^{2 }-2.a+1)-2.x+1=0 \Longrightarrow[/tex]
[tex]\cancel a^{2 } -3.a+(a-3-2).x-\cancel a^{2 }+2.a\underline{-1+1}=0 \Longrightarrow (a-5).x=a \Longrightarrow[/tex]

[tex]x=\frac{a}{a-5 }[/tex]

[tex]1) a=5 \Rightarrow x\in \oslash[/tex]
[tex]2) a\in (-\infty ;5)\cup (5;+\infty ) \Rightarrow x=\frac{a}{a-5 }[/tex]