- x^2 = - 9
x^2 = 9
x = ± 3
x1 = - 3
y1 = - 9
x2 = 3
y2 = - 9
( - 3; - 9) ; ( 3; - 9)
X больше или равно 0, х больше или равно 3/5,
Решение
1) а) 17 + (z² - 1)² = z⁴
17 + z⁴ - 2z² + 1 - z⁴ = 0
2z² = 18
z² = 9
z₁ = - 3
z₂ = 3
б) 4x² + 4x + 1 = 0
D = 16 - 4*4*1 = 0
x = - 4/8
x = = - 1/2
или
(2x + 1)² = 0
1 + 2x = 0
2x = - 1
x = - 1/2
2) а) (x - 1)(x² + x + 1) - x³ = x
x³ - 1 - x³ - x = 0
- x = 1
x = - 1
б) x² - 6x + 8 = 0
x₁ = 2
x₂ = 4
4) a/[(1 + a + a²)(1 - a)] = a/(1 - a³)