Question

In the adjacent figure
AB = x-1, AL=2x, DE =x+4
CE = 4x, find the value of x​

Answer 1

Answer:

AB/AL=DE/CE

x-1/2x=x+4/4x

4x(x-1)=2x(x+4)

4x²-4x=2x²+8x

4x²-2x²-4x-8x=0

2x²-12x=0

2(x²-6x)=0

x²-6x=0/2

x²-6x=0

x(x-6)=0

x-6=0/x

x-6=0

x=6