1) 32 - 50y^2 = 2Разложим на множители:32 - 50y^2 = 250y^2 = 30y^2 = 30/50y^2 = 3/5y = ±√(3/5)
2) 27x^2 - 12y^2 = 0Разложим на множители:27x^2 - 12y^2 = 03(9x^2 - 4y^2) = 03(3x + 2y)(3x - 2y) = 0
3) a^3 - a = 0a(a^2 - 1) = 0a(a + 1)(a - 1) = 0a = 0, a = -1, a = 1
1) x^4 - x^2 = 0x^2(x^2 - 1) = 0x^2(x + 1)(x - 1) = 0x = 0, x = -1, x = 1
2) 9y^2 - 4y^4 = 0y^2(9 - 4y^2) = 0y^2(3 + 2y)(3 - 2y) = 0y = 0, y = 3/2, y = -3/2
1) 32 - 50y^2 = 2
Разложим на множители:
32 - 50y^2 = 2
50y^2 = 30
y^2 = 30/50
y^2 = 3/5
y = ±√(3/5)
2) 27x^2 - 12y^2 = 0
Разложим на множители:
27x^2 - 12y^2 = 0
3(9x^2 - 4y^2) = 0
3(3x + 2y)(3x - 2y) = 0
3) a^3 - a = 0
a(a^2 - 1) = 0
a(a + 1)(a - 1) = 0
a = 0, a = -1, a = 1
1) x^4 - x^2 = 0
x^2(x^2 - 1) = 0
x^2(x + 1)(x - 1) = 0
x = 0, x = -1, x = 1
2) 9y^2 - 4y^4 = 0
y^2(9 - 4y^2) = 0
y^2(3 + 2y)(3 - 2y) = 0
y = 0, y = 3/2, y = -3/2