x/4-(2x)/(x+2)=1
:.(x(x+2)-4(2x)=4(x+2))/(4(x+2))
"multiply both sides by"4(x+2)
:.x(x+2)-4(2x)=4(x+2)
:.x^2+2x-8x=4x+8
:.x^2+2x-8x-4x-8=0
:.x^2-10x-8=0
"quadratic formula:-"
:.x=(-b+-sqrt (b^2-4ac))/(2a)
:.a=1,b=-10,c=-8
:.x=(-(-10)+-sqrt ((-10)^2-4(1)(-8)))/2
:.x=(10+- sqrt(132))/2
:.x=(10+- sqrt(33*2*2))/2
:.x=(10+- 2 sqrt(33))/2
:.x=5+- sqrt 33
:.x=5+ sqrt 33 or x=5- sqrt 33