(4-√6)/5; (4+√6)/5
Объяснение:
(8-4x+3x²)/12 -(2+x²)/6=(x²+1)/2 -x
(8-4x+3x²-2(2+x²))/12=(x²+1-2x)/2 |×2
8-4x+3x²-4-2x²=6(x²+1-2x)
4-4x+x²=6x²+6-12x
6x²+6-12x-4+4x-x²=0
5x²-8x+2=0; D=64-40=24
x₁=(8-2√6)/10=(4-√6)/5
x₂=(8+2√6)/10=(4+√6)/5
(4-√6)/5; (4+√6)/5
Объяснение:
(8-4x+3x²)/12 -(2+x²)/6=(x²+1)/2 -x
(8-4x+3x²-2(2+x²))/12=(x²+1-2x)/2 |×2
8-4x+3x²-4-2x²=6(x²+1-2x)
4-4x+x²=6x²+6-12x
6x²+6-12x-4+4x-x²=0
5x²-8x+2=0; D=64-40=24
x₁=(8-2√6)/10=(4-√6)/5
x₂=(8+2√6)/10=(4+√6)/5