6/x-x/3=-7

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Solution for 6/x-x/3=-7 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

DELTA = 7^2-(4*6*(-1/3))

DELTA = 57

DELTA > 0

x = (57^(1/2)-7)/(2*(-1/3)) or x = (-57^(1/2)-7)/(2*(-1/3))

x = -3/2*(57^(1/2)-7) or x = 3/2*(57^(1/2)+7)

x in { -3/2*(57^(1/2)-7), 3/2*(57^(1/2)+7)} 

x in { -3/2*(57^(1/2)-7), 3/2*(57^(1/2)+7) }

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