(x²+8x+3)*(x²+8x+5)=63
x²+8x+4 = t
(t - 1)(t + 1) = 63
t² - 1 = 63
t² = 64
1. t = 8
x²+8x+4 = 8
x²+8x-4 = 0
D = 64 + 16 = 80
x₁₂ = (-8 +- √80)/2 = -4 +- 2√5
2. t = -8
x²+8x+4 = -8
x²+8x + 12 = 0
D = 64 - 48 = 16
x₁₂ = (-8 +- 4)/2 = -6 -2
ответ х = {-6, -2, -4 + 2√5, -4 - 2√5}
(x²+8x+3)*(x²+8x+5)=63
x²+8x+4 = t
(t - 1)(t + 1) = 63
t² - 1 = 63
t² = 64
1. t = 8
x²+8x+4 = 8
x²+8x-4 = 0
D = 64 + 16 = 80
x₁₂ = (-8 +- √80)/2 = -4 +- 2√5
2. t = -8
x²+8x+4 = -8
x²+8x + 12 = 0
D = 64 - 48 = 16
x₁₂ = (-8 +- 4)/2 = -6 -2
ответ х = {-6, -2, -4 + 2√5, -4 - 2√5}