(4-x)*(6-x)=z*(2+z) (6-y)*(8-y)=(8-z)*(6-z) (6+x)^2+(4+y)^2=100
Примеры
Система линейных уравнений с двумя неизвестными
x + y = 5 2x - 3y = 1
Система линейных ур-ний с тремя неизвестными
2*x = 2 5*y = 10 x + y + z = 3
Система дробно-рациональных уравнений
x + y = 3 1/x + 1/y = 2/5
Система четырёх уравнений
x1 + 2x2 + 3x3 - 2x4 = 1 2x1 - x2 - 2x3 - 3x4 = 2 3x1 + 2x2 - x3 + 2x4 = -5 2x1 - 3x2 + 2x3 + x4 = 11
Система линейных уравнений с четырьмя неизвестными
2x + 4y + 6z + 8v = 100 3x + 5y + 7z + 9v = 116 3x - 5y + 7z - 9v = -40 -2x + 4y - 6z + 8v = 36
Система трёх нелинейных ур-ний, содержащая квадрат и дробь
2/x = 11 x - 3*z^2 = 0 2/7*x + y - z = -3
Система двух ур-ний, содержащая куб (3-ю степень)
x = y^3 x*y = -5
Система ур-ний c квадратным корнем
x + y - sqrt(x*y) = 5 2*x*y = 3
Система тригонометрических ур-ний
x + y = 5*pi/2 sin(x) + cos(2y) = -1
Система показательных и логарифмических уравнений
y - log(x)/log(3) = 1 x^y = 3^12
Решение
Вы ввели
[TeX]
[pretty]
[text]
(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
[TeX]
$$x_{1} = 0$$
=
$$0$$
=
$$z_{1} = 4$$
=
$$4$$
=
$$y_{1} = 4$$
=
$$4$$
=
=
$$0$$
=
0
$$z_{1} = 4$$
=
$$4$$
=
4
$$y_{1} = 4$$
=
$$4$$
=
4
$$x_{2} = 2$$
=
$$2$$
=
$$z_{2} = 2$$
=
$$2$$
=
$$y_{2} = 2$$
=
$$2$$
=
=
$$2$$
=
2
$$z_{2} = 2$$
=
$$2$$
=
2
$$y_{2} = 2$$
=
$$2$$
=
2
$$x_{3} = -10 - \sqrt{34}$$
=
$$-10 - \sqrt{34}$$
=
$$z_{3} = \sqrt{34} + 14$$
=
$$\sqrt{34} + 14$$
=
$$y_{3} = - \sqrt{34}$$
=
$$- \sqrt{34}$$
=
=
$$-10 - \sqrt{34}$$
=
-15.8309518948453
$$z_{3} = \sqrt{34} + 14$$
=
$$\sqrt{34} + 14$$
=
19.8309518948453
$$y_{3} = - \sqrt{34}$$
=
$$- \sqrt{34}$$
=
-5.83095189484530
$$x_{4} = -10 + \sqrt{34}$$
=
$$-10 + \sqrt{34}$$
=
$$z_{4} = - \sqrt{34} + 14$$
=
$$- \sqrt{34} + 14$$
=
$$y_{4} = \sqrt{34}$$
=
$$\sqrt{34}$$
=
=
$$-10 + \sqrt{34}$$
=
-4.16904810515470
$$z_{4} = - \sqrt{34} + 14$$
=
$$- \sqrt{34} + 14$$
=
8.16904810515470
$$y_{4} = \sqrt{34}$$
=
$$\sqrt{34}$$
=
5.83095189484530
$$x_{5} = -2 + \sqrt{34}$$
=
$$-2 + \sqrt{34}$$
=
$$z_{5} = -8 + \sqrt{34}$$
=
$$-8 + \sqrt{34}$$
=
$$y_{5} = -8 + \sqrt{34}$$
=
$$-8 + \sqrt{34}$$
=
=
$$-2 + \sqrt{34}$$
=
3.83095189484530
$$z_{5} = -8 + \sqrt{34}$$
=
$$-8 + \sqrt{34}$$
=
-2.16904810515470
$$y_{5} = -8 + \sqrt{34}$$
=
$$-8 + \sqrt{34}$$
=
-2.16904810515470
$$x_{6} = 9 - 5 \sqrt{7} i$$
=
$$9 - 5 \sqrt{7} i$$
=
$$z_{6} = 3 - 5 \sqrt{7} i$$
=
$$3 - 5 \sqrt{7} i$$
=
$$y_{6} = 11 + 5 \sqrt{7} i$$
=
$$11 + 5 \sqrt{7} i$$
=
=
$$9 - 5 \sqrt{7} i$$
=
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
$$x_{7} = 9 + 5 \sqrt{7} i$$
=
$$9 + 5 \sqrt{7} i$$
=
$$z_{7} = 3 + 5 \sqrt{7} i$$
=
$$3 + 5 \sqrt{7} i$$
=
$$y_{7} = 11 - 5 \sqrt{7} i$$
=
$$11 - 5 \sqrt{7} i$$
=
=
$$9 + 5 \sqrt{7} i$$
=
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
$$x_{8} = - \sqrt{34} - 2$$
=
$$- \sqrt{34} - 2$$
=
$$z_{8} = -8 - \sqrt{34}$$
=
$$-8 - \sqrt{34}$$
=
$$y_{8} = -8 - \sqrt{34}$$
=
$$-8 - \sqrt{34}$$
=
=
$$- \sqrt{34} - 2$$
=
-7.83095189484530
$$z_{8} = -8 - \sqrt{34}$$
=
$$-8 - \sqrt{34}$$
=
-13.8309518948453
$$y_{8} = -8 - \sqrt{34}$$
=
$$-8 - \sqrt{34}$$
=
-13.8309518948453
Численный ответ
[pretty]
[text]
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