(4-x)*(6-x)=z*(2+z) (6-y)*(8-y)=(8-z)*(6-z) (6+x)^2+(4+y)^2=100

Вы ввели

[LaTeX]

(4 - x)*(6 - x) = z*(2 + z)

$$\left(- x + 4\right) \left(- x + 6\right) = z \left(z + 2\right)$$

(6 - y)*(8 - y) = (8 - z)*(6 - z)

$$\left(- y + 6\right) \left(- y + 8\right) = \left(- z + 6\right) \left(- z + 8\right)$$

       2          2      
(6 + x)  + (4 + y)  = 100

$$\left(x + 6\right)^{2} + \left(y + 4\right)^{2} = 100$$

Быстрый ответ

[LaTeX]

$$x_{1} = 0$$
=
$$0$$
=

0

$$z_{1} = 4$$
=
$$4$$
=

4

$$y_{1} = 4$$
=
$$4$$
=

4

$$x_{2} = 2$$
=
$$2$$
=

2

$$z_{2} = 2$$
=
$$2$$
=

2

$$y_{2} = 2$$
=
$$2$$
=

2

$$x_{3} = -10 - \sqrt{34}$$
=
$$-10 - \sqrt{34}$$
=

-15.8309518948453

$$z_{3} = \sqrt{34} + 14$$
=
$$\sqrt{34} + 14$$
=

19.8309518948453

$$y_{3} = - \sqrt{34}$$
=
$$- \sqrt{34}$$
=

-5.83095189484530

$$x_{4} = -10 + \sqrt{34}$$
=
$$-10 + \sqrt{34}$$
=

-4.16904810515470

$$z_{4} = - \sqrt{34} + 14$$
=
$$- \sqrt{34} + 14$$
=

8.16904810515470

$$y_{4} = \sqrt{34}$$
=
$$\sqrt{34}$$
=

5.83095189484530

$$x_{5} = -2 + \sqrt{34}$$
=
$$-2 + \sqrt{34}$$
=

3.83095189484530

$$z_{5} = -8 + \sqrt{34}$$
=
$$-8 + \sqrt{34}$$
=

-2.16904810515470

$$y_{5} = -8 + \sqrt{34}$$
=
$$-8 + \sqrt{34}$$
=

-2.16904810515470

$$x_{6} = 9 - 5 \sqrt{7} i$$
=
$$9 - 5 \sqrt{7} i$$
=

9 - 13.228756555323*i

$$z_{6} = 3 - 5 \sqrt{7} i$$
=
$$3 - 5 \sqrt{7} i$$
=

3 - 13.228756555323*i

$$y_{6} = 11 + 5 \sqrt{7} i$$
=
$$11 + 5 \sqrt{7} i$$
=

11 + 13.228756555323*i

$$x_{7} = 9 + 5 \sqrt{7} i$$
=
$$9 + 5 \sqrt{7} i$$
=

9 + 13.228756555323*i

$$z_{7} = 3 + 5 \sqrt{7} i$$
=
$$3 + 5 \sqrt{7} i$$
=

3 + 13.228756555323*i

$$y_{7} = 11 - 5 \sqrt{7} i$$
=
$$11 - 5 \sqrt{7} i$$
=

11 - 13.228756555323*i

$$x_{8} = - \sqrt{34} - 2$$
=
$$- \sqrt{34} - 2$$
=

-7.83095189484530

$$z_{8} = -8 - \sqrt{34}$$
=
$$-8 - \sqrt{34}$$
=

-13.8309518948453

$$y_{8} = -8 - \sqrt{34}$$
=
$$-8 - \sqrt{34}$$
=

-13.8309518948453

Численный ответ

[LaTeX]

x1 = -1.552877204537927e-20
y1 = 4.00000000000000
z1 = 4.00000000000000

x2 = -1.65077308880930e-22
y2 = 4.00000000000000
z2 = 4.00000000000000

x3 = -9.487843571108003e-24
y3 = 4.00000000000000
z3 = 4.00000000000000

x4 = 3.83095189484530
y4 = -2.16904810515470
z4 = -2.16904810515470

x5 = -5.485335431987793e-22
y5 = 4.00000000000000
z5 = 4.00000000000000

x6 = -8.586579885565679e-23
y6 = 4.00000000000000
z6 = 4.00000000000000

x7 = -15.8309518948453
y7 = -5.83095189484530
z7 = 19.8309518948453

x8 = -3.114987718065835e-22
y8 = 4.00000000000000
z8 = 4.00000000000000

x9 = 2.00000000000000
y9 = 2.00000000000000
z9 = 2.00000000000000

x10 = 7.438090959911092e-22
y10 = 4.00000000000000
z10 = 4.00000000000000

x11 = -7.83095189484530
y11 = -13.8309518948453
z11 = -13.8309518948453

x12 = -1.35722985841023e-23
y12 = 4.00000000000000
z12 = 4.00000000000000

x13 = -3.123195271332243e-22
y13 = 4.00000000000000
z13 = 4.00000000000000

x14 = -4.16904810515470
y14 = 5.83095189484530
z14 = 8.16904810515470

x15 = 1.62587883559319e-22
y15 = 4.00000000000000
z15 = 4.00000000000000

x16 = -7.356510095950837e-22
y16 = 4.00000000000000
z16 = 4.00000000000000

x17 = -7.395693760187423e-23
y17 = 4.00000000000000
z17 = 4.00000000000000

x18 = -6.691047110651053e-21
y18 = 4.00000000000000
z18 = 4.00000000000000

x19 = -5.44576703810945e-22
y19 = 4.00000000000000
z19 = 4.00000000000000

x20 = -3.326863537869702e-23
y20 = 4.00000000000000
z20 = 4.00000000000000

x21 = -1.063214271817692e-20
y21 = 4.00000000000000
z21 = 4.00000000000000

x22 = -3.640597222663262e-22
y22 = 4.00000000000000
z22 = 4.00000000000000