Уравнение окружности: (х-х₀)²+(у-у₀)²=R²
1) (х-1)²+у²=4
2) х²+(у+1)²=1
y=kx+b - прямая, где k-угловой коэф.
<u><em>y=2x+3</em></u>
k=2
x-3y+4=0
3y=x+4
y=(x+4)/3
<em><u>y=(1/3)x+(4/3)</u></em>
k=1/3
3x+4y-5=0
4y=-3x+5
y=(-3x+5)/4
<em><u>y=(-3/4)x+(5/4)</u></em>
k=-3/4
графики давай сама
<span>3</span><em>x</em><span> - 4</span><em>y</em><span> + </span><em>C</em><span> = 0, (3)</span>
<span><span>3</span><em>x</em><span> - 4</span><em>y</em><span> + 14 = 0.</span></span>
1) (x-3)(x+3)=0
x²-3x+3x-9=0
x²-9=0
x²=9
x=√9
x1=3
x2=-3
2) 1.8x²=0
x1,2=0
3) 2x²-5x=0
D=25
x1=(5+5)/4=2.5
x2=(5-5)/4=0
4) x²-16=0
x²=16
x1=4
x2=-4
5) 12+4x²=0
4x²+12=0
D=0-4*4*12=-192
(корней не имеет)
6) x²-7x+10=0
D=49-4*1*10=9
x1=(7+3)/2=5
x2=(7-3)/2=2
7) x²+4x+4=0
D=16-4*1*4=0
x1,2=(-4)/2=-2
8) 7x²+8x+1=0
D=64-4*7*1=36
x1=(-8+6)/14=-1/2
x2=(-8-6)/14=-1
9) (x-3)²=2x+6
(x-3)(x-3)=2x+6
x²-3x-3x+9-2x-6=0
x²-8x+3=0
D=64-4*1*3=52
x1=(8+√52)/2≈7.61
x2=(8-√52)/2≈0.39
10) 5x²+8x-4=0
D=64-4*5*(-4)=144
x1=(-8+12)/10=1/5=0.2
x2=(-8-12)/10=-2