7/10=x-4/x-7

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


D( x )

x = 0

x = 0

x = 0

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

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

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

4*x^-1-1*x^1+77/10*x^0 = 0

(77/10*x^1-1*x^2+4*x^0)/(x^1) = 0 // * x^2

x^1*(77/10*x^1-1*x^2+4*x^0) = 0

x^1

(77/10)*x-x^2+4 = 0

(77/10)*x-x^2+4 = 0

DELTA = (77/10)^2-(-1*4*4)

DELTA = 7529/100

DELTA > 0

x = ((7529/100)^(1/2)-(77/10))/(-1*2) or x = (-(77/10)-(7529/100)^(1/2))/(-1*2)

x = ((7529/100)^(1/2)-77/10)/(-2) or x = ((7529/100)^(1/2)+77/10)/2

x in { ((7529/100)^(1/2)-77/10)/(-2), ((7529/100)^(1/2)+77/10)/2} 

x in { ((7529/100)^(1/2)-77/10)/(-2), ((7529/100)^(1/2)+77/10)/2 }

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