Объяснение:
N3
x^2 + (1 - 3a)x + 2a^2 - 2 = 0
D = 1 - 6a + 9a^2 - 8a^2 + 8 = a^2 -6a +9 = (a + 3)^2
D = 0 => (a - 3)^2 = 0 => a = 3
a = 3
x^2 + (1 - 9)x + 18 - 2 = 0
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x = 4
N4
a+3/a+2 = 2/x - 5/x(a+2) ; x=/=0 ; a=/=-2
ax+3x/x(a+2) - (2a + 4)/x(a + 2) + 5/x(a+2) = 0
ax + 3x - 2a - 4 + 5/x(a+2) = 0
ax + 3x - 2a + 1 = 0
(a + 3)x = 2a - 1
x = (2a-1)/(a+3) ; a=/=-2 ; a=/=-3; x=/=0
Объяснение:
N3
x^2 + (1 - 3a)x + 2a^2 - 2 = 0
D = 1 - 6a + 9a^2 - 8a^2 + 8 = a^2 -6a +9 = (a + 3)^2
D = 0 => (a - 3)^2 = 0 => a = 3
a = 3
x^2 + (1 - 9)x + 18 - 2 = 0
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x = 4
N4
a+3/a+2 = 2/x - 5/x(a+2) ; x=/=0 ; a=/=-2
ax+3x/x(a+2) - (2a + 4)/x(a + 2) + 5/x(a+2) = 0
ax + 3x - 2a - 4 + 5/x(a+2) = 0
ax + 3x - 2a + 1 = 0
(a + 3)x = 2a - 1
x = (2a-1)/(a+3) ; a=/=-2 ; a=/=-3; x=/=0