Answer:
A. x=2, x=6
> x²+12x+36/2x+4=x+6
> x²+12x+36=(x+6)(2x+4)
> x²+12x+36=2x²+16x+24
> x²+12x+36-2x²-16x-24
> -x²-4x+12=0
> x²+4x-12=0
> x²-2x+6x-12=0
> x(x-2)+6(x-2)=0
> (x-2)(x+6)=0
> x=2, x=6
B. x<-1
> 4x-5/2x-1<3
> 4x-5<3(2x-1)
> 4x-5<6x-3
> 4x-5-6x+3
> -2x-2
> 2x=-2
> 2x/2=-2/2
> x<-1
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
A. x=2, x=6
> x²+12x+36/2x+4=x+6
> x²+12x+36=(x+6)(2x+4)
> x²+12x+36=2x²+16x+24
> x²+12x+36-2x²-16x-24
> -x²-4x+12=0
> x²+4x-12=0
> x²-2x+6x-12=0
> x(x-2)+6(x-2)=0
> (x-2)(x+6)=0
> x=2, x=6
B. x<-1
> 4x-5/2x-1<3
> 4x-5<3(2x-1)
> 4x-5<6x-3
> 4x-5-6x+3
> -2x-2
> 2x=-2
> 2x/2=-2/2
> x<-1