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solve the equation

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solve equation (5/x)-(3/x+4)=2
asked Oct 13 in ALGEBRA 2 by anonymous

1 Answer

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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 13 by homeworkhelp Mentor

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