x+7/x-4=10/7

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Solution for x+7/x-4=10/7 equation:


D( x )

x = 0

x = 0

x = 0

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

x+7/x-4 = 10/7 // - 10/7

x+7/x-(10/7)-4 = 0

x+7/x-10/7-4 = 0

1*x^1+7*x^-1-38/7*x^0 = 0

(1*x^2-38/7*x^1+7*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-38/7*x^1+7*x^0) = 0

x^1

x^2+(-38/7)*x+7 = 0

x^2+(-38/7)*x+7 = 0

DELTA = (-38/7)^2-(1*4*7)

DELTA = 72/49

DELTA > 0

x = ((72/49)^(1/2)-(-38/7))/(1*2) or x = (-(-38/7)-(72/49)^(1/2))/(1*2)

x = ((72/49)^(1/2)+38/7)/2 or x = (38/7-(72/49)^(1/2))/2

x in { (38/7-(72/49)^(1/2))/2, ((72/49)^(1/2)+38/7)/2}

x in { (38/7-(72/49)^(1/2))/2, ((72/49)^(1/2)+38/7)/2 }

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