2 х(х+2)>х(7 х+10)+1

Question

2 х(х+2)>х(7 х+10)+1

Answer 1

2 х(х+2)>х(7 х+10)+1
2x²+4x>7x²+10x+1
2x²-7x²+4x-10x-1>0
-5x²-6x-1>0
5x²+6x+1<0<br>D=36-4*5=16
x(1)=(-6-4)/5=-10/5=-2
x(2)=(-6+4)/5=-2/5                    ⇒    ⇒x<-2