7/x-(3/2x)+7/6

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Solution for 7/x-(3/2x)+7/6 equation: 


D( x )

x = 0

x = 0

x = 0

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

7/x-((3/2)*x)+7/6 = 0

(-3/2)*x+7/x+7/6 = 0

7*x^-1-3/2*x^1+7/6*x^0 = 0

(7/6*x^1-3/2*x^2+7*x^0)/(x^1) = 0 // * x^2

x^1*(7/6*x^1-3/2*x^2+7*x^0) = 0

x^1

(-3/2)*x^2+(7/6)*x+7 = 0

(-3/2)*x^2+(7/6)*x+7 = 0

DELTA = (7/6)^2-(4*7*(-3/2))

DELTA = 1561/36

DELTA > 0

x = ((1561/36)^(1/2)-(7/6))/(2*(-3/2)) or x = (-(7/6)-(1561/36)^(1/2))/(2*(-3/2))

x = ((1561/36)^(1/2)-7/6)/(-3) or x = ((1561/36)^(1/2)+7/6)/3

x in { ((1561/36)^(1/2)-7/6)/(-3), ((1561/36)^(1/2)+7/6)/3} 

x in { ((1561/36)^(1/2)-7/6)/(-3), ((1561/36)^(1/2)+7/6)/3 }

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