ОДЗ:
4x^2+9x+5>=0
D=81-80=1
x1=-1
x2=-1.25
(=-00; -1.25] U [-1 +00)
2x^2+x-1>=0
D=1+8=9
(2x-1)(x+1)>=0
x=(-00 -1] U [1/2 +00)
x^2-1>=0
(х-1)(х+1)>=0
x=(-00 -1] U [1 +00)
Общее ОДЗ:
х={-1} U [1 +00)
4x^{2} +9x+5=3x^{2}-2+2
-2
-2
4(2x^{4}+x^{3}-3x^{2}-x+1)=x^{4}+49+64x^{2}+14x^{2}+16x^{3}+11x
8x^{4}+4x^{3}-12x^{2}-4x+4=x^{4}+49+78x^{2}+16x^{3}+112x
7x^{4}-12x^{3}-90x^{2}-116x-45=0
7x^{4}+7x^{3}-19x^{3}-19x^{2}-71x^{2}-71x-45x-45=0
7x^{3}*(x+1)-19x^{2}*(x+1)-71x*(x+1)-45(x+1)=0
(x+1)(7x^{3}-19x^{2}-71x-45)=0
(x+1)(7x^{3}+7x^{2}-26x^{2}-26x-45x-45)=0
(x+1)(7x^{2}*(x+1)-26x*(x+1)-45(x+1)=0
(x+1)^{2}*(7x^{2}-26x-45)=0
(x+1)^{2}*(7x^{2}+9x-35x-45)=0
(x+1)^{2}*(x(7x+9)-5(7x+9))=0
(x+1)^{2}*(7x+9)*(x-5)=0
(x+1)^{2}=0
x=-1
7x+9=0
x=- 
- не удовлетворяет ОДЗ
x-5=0
x=5
x=5
x=-1
(x-3)(x-3-√5)<0
x=3 x=3+√5
x∈(3;3+√5)