1)
D=16-4*1*(-21)=16+84=100
x1= -4+100 / 2 = 48
x2= -4-100 / 2 = -52
2)
5x(2x+1)=0
x1=0
x2= -1/2= -0.5
3)
a-b+c= -1+6-5=0
x1= -1
x2= -5/-1 = 5
4)
D=81-4*2*4=81-32=49
x1= 9+7 /4 = 4
x2= 9-7 /4 = 1/2 = 0.5
5)
D=49-4*3*2=49-24=25
x1= 7+5 /6 = 2
x2= 7-5 /6 = 1/3
6)
D=4-4*1*(-1)=4+4=8
x1= -2+v8 /2 = -1+v2
x2= -2-v8 /2 = -1-v2
7)
D=784-4*5*(-96)=784+1920=2704
x1= 28+52 /10 = 8
x2=28-52 /10 = -27/10 = -2.7
9у=2х-1
у=(2х-1)/9
5х+2у=3
2у=(3-5х)
у=(3-5х)/2
(2х-1)/9=(3-5х)/2
Обе части уравнения на 18.
2×(2х-1)=9×(3-5х)
4х-2=27-45х
4х+45х=27+2
49х=29|:49
х=29/49
х=0.592
у=(3-5×0.592)/2
у=(3-2.96)/2
у=0.04/2
у=0.02
координаты точки пересечения
О(0.592;0.02)
Решение
<span>1 ) х </span>²<span> - 16 < 0
x</span>² - 16 = 0
<span>x</span>² = 16
<span>x</span>₁ = - 4
<span>x</span>₂ = 4
<span>- 4 < x < 4
2) х</span>² <span>- 95 < 0
x</span>² - 95 = 0
<span>x</span>² = 95
<span>x</span>₁ = - √95
<span>x</span>₂ = √95
<span>- </span>√95 < x < √95
<span>
3) х</span>²<span> + 1 > 0
x </span>∈ R
Пусть исходные числа x и y, тогда