solve the equation

1 Answer

The Equation

(5/x) - (3/(x + 4)) = 2

[ 5(x + 4) - 3(x) ] / [ x(x + 4) ] = 2

[ 5x + 20 - 3x ] / [ x^2 + 4x ] = 2

[ 2x + 20 ] = 2 X (x^2 + 4x)

2x + 20 = 2x^2 + 8x

2x^2 + 8x - (2x + 20) = 0

2x^2 + 8x - 2x - 20 = 0

2x^2 + 6x - 20 = 0

2(x^2 + 3x - 10) = 0

x^2 + 3x - 10 = 0

x^2 + 5x - 2x - 10 = 0

x(x + 5) - 2(x + 5) = 0

(x + 5)(x - 2) = 0

(x + 5) = 0 ; (x - 2) = 0

x = 0 - 5 ; x = 0 + 2

x = - 5 ; x = 2

Answer :

The Solutions are x = - 5 and x = 2.

answered Oct 14, 2018 by homeworkhelp Mentor

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