♥♥♥Ребятки,ребятулички*) помогите пожалуйста)))*** ☻ 2/х + 1/х-1 = 2 ☻5/х+1 + 4/х-2=...

1) $\frac{2}{x} + \frac{1}{x-1} =2 \\ \\ 2(x-1)+x=2x(x-1) \\ 2x-2+x=2x^2-2x \\ 2x^2-5x+2=0 \\ D=25-16=9=3^2 \\ x= \frac{5+-3}{4} = \left \{ {{x_1=2} \atop {x_2=0,5}} \right.$

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2) $\frac{5}{x+1}+ \frac{4}{x-2} = \frac{3}{x-3} \\ 5(x-2)(x-3)+4(x+1)(x-3)=3(x+1)(x-2) \\ 5x^2-15x-10x+30+4x^2-12x+4x-12=3x^2-6x+3x-6 \\ 9x^2-33x+18=3x^2-3x-6 \\ 3x^2-11x+6=x^2-x-2 \\ 2x^2-10x+8=0 \\ x^2-5x+4=0 \\ D=25-16=9=3^2 \\ x= \frac{5+-3}{2} = \left \{ {{x_1=4} \atop {x_2=1}} \right.$

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Bonus:
$x^4-7x^2-18=0 \\ t=x^2 \geq 0 \\ \\ \\ t^2-7t-18=0 \\ D=49+72=121=11^2 \\ t= \frac{7+-11}{2} = \left \{ {{t_1=9} \atop {t_2=-2}} \right. \\ \\ x^2=9 \\ x_1=3 \\ x_2=-3$