x-7=-10/x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

x+10*x^-1-7 = 0

1*x^1+10*x^-1-7*x^0 = 0

(1*x^2-7*x^1+10*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-7*x^1+10*x^0) = 0

x^1

x^2-7*x+10 = 0

x^2-7*x+10 = 0

DELTA = (-7)^2-(1*4*10)

DELTA = 9

DELTA > 0

x = (9^(1/2)+7)/(1*2) or x = (7-9^(1/2))/(1*2)

x = 5 or x = 2

x in { 2, 5} 

x in { 2, 5 }

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