Question

Уравнение по алгебре хелпп

Answer 1

1/x-3+18/x²-9=x/x+3

1/x-3+18/x²-9=x/x+3, x≠3, x≠ -3

1/x-3+18/x²-9-x/x+3=0

1/x-3+18/(x-3)(x+3)-x/x+3=0

x+3+18-x(x-3)/(x-3)(x+3)=0

x+3+18-x²+3x/(x-3)(x+3)=0

4x+21-x²/(x-3)(x+3)=0

-x²+4x+21/(x-3)(x+3)=0

-x²+7x-3x+21/(x-3)(x+3)=0

-x(x-7)-3(x-7)/(x-3)(x+3)=0

-(x-7)(x+3)/(x-3)(x+4)=0

-(x-7)/x-3=0

-x-7/x-3=0

7-x/x-3=0

7-x=0

-x= -7

x=7, x≠3, x≠ -3

x=7