25x^2+10x+1/5x^2-14x-3 Сократить дробь

Question

25x^2+10x+1/5x^2-14x-3 Сократить дробь

Answer 1

25x²+10x+1/5x²-14x-3= (5х+1)²/ 5x²-14x-3=
=(5х+1)²/(5x+1)(x-3)=5x+1/x-3


5х²-14х-3=0
D=196-4*5*(-3)=196+60=256
x=( 14+16)/2*5=30/10=3
x=(14-16)/10= -2/10= -0,2
5х²-14х-3=5(x+0,2)(x-3)=(5x+1)(x-3)