1) [latex] x^{3} +2 x^{2} -15 x^{} =0[/latex] 2)[latex] \frac{x-6}{y-8} = \frac{3}{2} [/latex] 3)[latex] x^{2} -7 x^{} =18[/latex] 4)[latex] \frac{7}{ x^{2} + x^{} } - \frac{1}{ x^{} +1} + \frac{16}{ x^{3}- x^{} } = 0[/latex]

1) x(x²+2x-15)=0 x₁=0 x²+2x-15=0 D=4+15*4=64=8² x₂=(-2+8)/2=3 x₃=(-2-8)/2=-5 2) [latex] \frac{y-6}{y-8}= \frac{3}{2} [/latex] ОДЗ y=6 y=8 2(y-6)=(y-8)*3 2y-12=3y-24 3y-2y=24-12 y=12 3) x²-7x-18=0 D=48+4*18=121=11² x₁=(7-11)/2=-2 x₂=(7+11)/2=9 4) ОДЗ х³-х=0 х(х-1)(х+1)=0 х=0 х=1 х=-1 [latex] \frac{7(x-1)-x(x-1)+16}{x(x-1)(x+1)}=0 \\ \frac{7x-7- x^{2} +x+16}{x(x-1)(x+1)} =0 \\ \frac{8x- x^{2} +9}{x(x-1)(x+1)} =0[/latex] 8x-x²+9=0 x²-8x-9=0 D=64+4*9=100 x₁=(8-10)/2=-1 x₂=(8+10)/2=9