x/7-3/x=-4/7

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Solution for x/7-3/x=-4/7 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/7-(3/x) = -4/7 // + -4/7

x/7-(3/x)-(-4/7) = 0

x/7-3*x^-1+4/7 = 0

1/7*x^1-3*x^-1+4/7*x^0 = 0

(1/7*x^2+4/7*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(1/7*x^2+4/7*x^1-3*x^0) = 0

x^1

(1/7)*x^2+(4/7)*x-3 = 0

(1/7)*x^2+(4/7)*x-3 = 0

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

DELTA = 100/49

DELTA > 0

x = ((100/49)^(1/2)-(4/7))/(2*(1/7)) or x = (-(4/7)-(100/49)^(1/2))/(2*(1/7))

x = 3 or x = -7

x in { -7, 3} 

x in { -7, 3 }

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