2(5х-1)^2+35х-11=0 (х^2+х-3)^2+12х^2+12х-9=0

Question

2(5х-1)^2+35х-11=0
(х^2+х-3)^2+12х^2+12х-9=0

Answer 1

50x²-20x+2+35x-11=0
50x²+15x-9=0
D=225+1800=2025
x₁=-15-45/100=-0.6
x₂=-15+45/100=0.3

преобразуем 12x²+12x-9=12(x²+x-3)+27
(x²+x-3)²+12(x²+x-3)+27=0
x²+x-3=y
y²+12y+27=0
D=144-108=36
y₁=-12-6/2=-9
y₂=-12+6/2=-3
x²+x-3=-9
x²+x+6=0
D=1-24=-23<0 корней нет<br>x²+x-3=-3
x²+x=0
x(x+1)=0
x₁=0      x+1=0
             x₂=-1