2/x-3x/2=7

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Solution for 2/x-3x/2=7 equation:


D( x )

x = 0

x = 0

x = 0

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

2/x-((3*x)/2) = 7 // - 7

2/x-((3*x)/2)-7 = 0

(-3/2)*x+2/x-7 = 0

2*x^-1-3/2*x^1-7*x^0 = 0

(2*x^0-3/2*x^2-7*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-3/2*x^2-7*x^1) = 0

x^1

(-3/2)*x^2-7*x+2 = 0

(-3/2)*x^2-7*x+2 = 0

DELTA = (-7)^2-(2*4*(-3/2))

DELTA = 61

DELTA > 0

x = (61^(1/2)+7)/(2*(-3/2)) or x = (7-61^(1/2))/(2*(-3/2))

x = (61^(1/2)+7)/(-3) or x = (7-61^(1/2))/(-3)

x in { (61^(1/2)+7)/(-3), (7-61^(1/2))/(-3)}

x in { (61^(1/2)+7)/(-3), (7-61^(1/2))/(-3) }

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