What is (x/4) - (2x/x+2) = 1 ?

1 Answer
Jun 27, 2018

x=5+sqrt 33 or x=5-sqrt33

Explanation:

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