x/7-5/x=-2/7

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Solution for x/7-5/x=-2/7 equation:


D( x )

x = 0

x = 0

x = 0

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

x/7-(5/x) = -2/7 // + -2/7

x/7-(5/x)-(-2/7) = 0

x/7-5*x^-1+2/7 = 0

1/7*x^1-5*x^-1+2/7*x^0 = 0

(1/7*x^2+2/7*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(1/7*x^2+2/7*x^1-5*x^0) = 0

x^1

(1/7)*x^2+(2/7)*x-5 = 0

(1/7)*x^2+(2/7)*x-5 = 0

DELTA = (2/7)^2-(-5*4*(1/7))

DELTA = 144/49

DELTA > 0

x = ((144/49)^(1/2)-(2/7))/(2*(1/7)) or x = (-(2/7)-(144/49)^(1/2))/(2*(1/7))

x = 5 or x = -7

x in { -7, 5}

x in { -7, 5 }

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