2x-7=(9/x)

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Solution for 2x-7=(9/x) equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-7 = 9/x // - 9/x

2*x-(9/x)-7 = 0

2*x-9*x^-1-7 = 0

2*x^1-9*x^-1-7*x^0 = 0

(2*x^2-7*x^1-9*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-7*x^1-9*x^0) = 0

x^1

2*x^2-7*x-9 = 0

2*x^2-7*x-9 = 0

DELTA = (-7)^2-(-9*2*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)+7)/(2*2) or x = (7-121^(1/2))/(2*2)

x = 9/2 or x = -1

x in { -1, 9/2} 

x in { -1, 9/2 }

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