1) [tex] x^{3} +2 x^{2} -15 x^{} =0[/tex]
2)[tex] \frac{x-6}{y-8} = \frac{3}{2} [/tex]
3)[tex] x^{2} -7 x^{} =18[/tex]
4)[tex] \frac{7}{ x^{2} + x^{} } - \frac{1}{ x^{} +1} + \frac{16}{ x^{3}- x^{} } = 0[/tex]
2)[tex] \frac{x-6}{y-8} = \frac{3}{2} [/tex]
3)[tex] x^{2} -7 x^{} =18[/tex]
4)[tex] \frac{7}{ x^{2} + x^{} } - \frac{1}{ x^{} +1} + \frac{16}{ x^{3}- x^{} } = 0[/tex]
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Verified answer
1) x(x²+2x-15)=0x₁=0
x²+2x-15=0
D=4+15*4=64=8²
x₂=(-2+8)/2=3
x₃=(-2-8)/2=-5
2)
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
8x-x²+9=0
x²-8x-9=0
D=64+4*9=100
x₁=(8-10)/2=-1
x₂=(8+10)/2=9