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

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Answer 1 · 2018-06-27T11:52:49

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

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

$:.(x(x+2)-4(2x)=4(x+2))/(4(x+2))$

$"multiply both sides by"$ $4(x+2)$

$:.x(x+2)-4(2x)=4(x+2)$

$:.x^2+2x-8x=4x+8$

$:.x^2+2x-8x-4x-8=0$

$:.x^2-10x-8=0$

$"quadratic formula:-"$

$:.x=(-b+-sqrt (b^2-4ac))/(2a)$

$:.a=1,b=-10,c=-8$

$:.x=(-(-10)+-sqrt ((-10)^2-4(1)(-8)))/2$

$:.x=(10+- sqrt(132))/2$

$:.x=(10+- sqrt(33*2*2))/2$

$:.x=(10+- 2 sqrt(33))/2$

$:.x=5+- sqrt 33$

$:.x=5+ sqrt 33 or x=5- sqrt 33$