Объяснение:
y2 = 10 - 2x4
x2 + 2(10 - 2x4) = 15
x2 + 20 - 4x4 = 15
x2 = t
t + 20 - 4t2 = 15
4t2 - t - 5 =0
D = 1 + 80 = 81
t = 1 - 9 / 8 = - 1
T = 1 + 9/ 8 = 10 / 8 = 5/4
x2 = t ; => x2 = 5/4 ; => x = sqrt(5/4)
5/4 + 2y2 = 15
2y2 = 13,75
y2 = 6,8725 => y = sqrt(6,8725)
2x^4 + y^2 = 10 |*2
x^2 + 2y^2 = 15
вычитаем 2 из 1
4x^4 + 2y^2 - x^2 - 2y^2 = 20 - 15
4x^4 - x^2 - 5 = 0
x^2 = t >= 0
4t^2 - t - 5 = 0
t12 = (1 +- 9)/8 = -1 5/4
t1 = -1 нет < 0
t2 = 5/4
x^2 = 5/4
x = +- √5/2
5/4 + 2y^2 = 15
2y^2 = 60/4 - 5/4 = 55/4
y^2 = 55/8
y = +- √(55/8)
ответ (+- √5/2, +- √(55/8)) все комбинации
Объяснение:
y2 = 10 - 2x4
x2 + 2(10 - 2x4) = 15
x2 + 20 - 4x4 = 15
x2 = t
t + 20 - 4t2 = 15
4t2 - t - 5 =0
D = 1 + 80 = 81
t = 1 - 9 / 8 = - 1
T = 1 + 9/ 8 = 10 / 8 = 5/4
x2 = t ; => x2 = 5/4 ; => x = sqrt(5/4)
5/4 + 2y2 = 15
2y2 = 13,75
y2 = 6,8725 => y = sqrt(6,8725)
2x^4 + y^2 = 10 |*2
x^2 + 2y^2 = 15
вычитаем 2 из 1
4x^4 + 2y^2 - x^2 - 2y^2 = 20 - 15
4x^4 - x^2 - 5 = 0
x^2 = t >= 0
4t^2 - t - 5 = 0
D = 1 + 80 = 81
t12 = (1 +- 9)/8 = -1 5/4
t1 = -1 нет < 0
t2 = 5/4
x^2 = 5/4
x = +- √5/2
5/4 + 2y^2 = 15
2y^2 = 60/4 - 5/4 = 55/4
y^2 = 55/8
y = +- √(55/8)
ответ (+- √5/2, +- √(55/8)) все комбинации