Объяснение:
а) (3х^2 -2х)/(х^2 -1)=(5-6х)/(1-х^2)
(3х^2 -2х)/(х^2 -1)=(6х-5)/(х^2 -1)
(3х^2 -2х-6х+5)/(х^2 -1)=0
3х^2 -8х+5=0
D=8^2 -4×3×5=64-60=4
x1=(8- √4)/(2×3)=6/6=1
x2=(8+√4)/(2×3)=10/6=5/3=1 2/3
б) 4х/(х+3) +16/(х^2 +3х)=5/х
4х/(х+3) +16/(х(х+3))=5/х
(4х^2 +16)/(х(х+3)) -5(х+3)/(х(х+3))=0
(4х^2 +16-5х-15)/(х(х+3))=0
4х^2 -5х+1=0
D=5^2 -4×4×1=25-16=9
x1=(5- √9)/(2×4)=2/8=1/4=0,25
x2=(5+√9)/(2×4)=8/8=1