What is the solution set of the equation?

Algebra
Tutor: None Selected Time limit: 1 Day

x+10/x+4= 2-4/x

A: {-1, 16}

B; {-8, 2}

C; {-16, 1}

D: {-2, 8}

Apr 6th, 2015

x+10/x+4= 2-4/x 

=>  x^2+10x/x+4= 2x-4   

=>  x^2+10x= (2x-4)(x+4)

=>  x^2+10x= 2x^2 +4x -16 

=>  x^2+10x -2x^2 -4x +16 = 0 

=>   -x^2 + 6x +16 = 0 

=>  x^2 - 6x -16 = 0

=>  x = -2, 8 

=> D




Apr 6th, 2015

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