M3-2m+2-m2-2m-15=m5-4m-13 при м=3. 243-12-13=219
<span>1) 3x^2-x=24
3x</span>²-x-24=0
<span>D=1+12*24=289=17</span>²
<span>x</span>₁=(1-17)/6=-16/6=-8/3=-2 2/3
<span>x</span>₂=(1+17)/6=3
<span>
2)4x^2=-4x-1
4x</span>²+4x+1=0
<span>(2x+1)=0
x=-1/2
3)-25=10x+2x^2
2x</span>²+10x+25=0
<span>D=100-4*2*25<0
нет корней </span>∅
<span>
4)7x=12+x^2
x</span>²-7x+12=0
D=49-48=1
<span>x</span>₁=(7-1)/2=3
<span>x</span>₂=(7+1)/2=4
<span>
5)x^2=4x
x</span>²-4x=0
<span>x(x-4)=0
x</span>₁=0
<span>x</span>₂=4
<span>
6)3x^2-7=4x
3x</span>²-4x-7=0
<span>D=16+4*21=100=10</span>²
<span>x</span>₁=(4-10)/6=-1
<span>x</span>₂=(4+10)/6=14/6=7/3=2 1/3<span>
7)k^2-25=0
(k-5)(k+5)=0
k</span>₁=5
k₂=-5
Xy-x=2 x*(y-1)=2
xy³-xy²=8 xy²*(y-1)=8
Разделим второе уравнение на первое:
y²=4
y₁=2 x*2-x=2 2x-x=2 x₁=2
y₂=-2 x*(-2)-x=2 -2x-x=2 x₂=-2/3
Ответ: x₁=2 y₁=2 x₂=-2 y₂=-2/3.