2x-7/x+1=2x/x+4

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Solution for 2x-7/x+1=2x/x+4 equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

2*x-(7/x)+1 = (2*x)/x+4 // - (2*x)/x+4

2*x-(7/x)-((2*x)/x)-4+1 = 0

2*x-7*x^-1-4-2+1 = 0

2*x^1-7*x^-1-5*x^0 = 0

(2*x^2-5*x^1-7*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-5*x^1-7*x^0) = 0

x^1

2*x^2-5*x-7 = 0

2*x^2-5*x-7 = 0

DELTA = (-5)^2-(-7*2*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+5)/(2*2) or x = (5-81^(1/2))/(2*2)

x = 7/2 or x = -1

x in { -1, 7/2}

x in { -1, 7/2 }

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