Question

Giải phương trình sau :

    x . ( z +2 ) + a² -3 = 2 . a ( x + 1 )
 

Answer 1

<=>xz+2x+a²-3-2ax-2=0
<=>x(z+2-2a)=-a²+5
<=>x=(-a²+5)/(z+2-2a)

Answer 2

\(\Rightarrow x\left(z+2\right)+a^2-3=xz+2x+a^2-3\)

\(\Rightarrow xz+2x+a^2-3=2a\left(x+1\right)\)

\(\Rightarrow xz+2x+a^2-3=2ax+2a\)

\(\Rightarrow xz-2x+2x+a^2-2a-3=0\)

\(\Rightarrow xz+\left(2-2a\right)x+a^2-2a-3=0\)

\(\Rightarrow z=\frac{\left(2a-2\right)x-a^2+2a+3}{x}\)