Question

DE ll BC if AD=4x-3,DB=3x-1,AE =8x-7, EC=5x-3. find the value of x

Answer 1

Here, DE || BC
AD/DB = AE/EC
=> 4x-3/3x-1=8x-7/5x-3
=>24x^2-29x+7=20x^2-27x+9
=>4x^2-2x-2=0
=>4x^2-4x+2x-2=0
=>4x(x-1)+2(x-1)=0
=>(x-1)(4x+2)=0
:-)x-1=0 or :-)4x+2=0
:-)x=1 :-)x=-1/2