8/7=x-4/x-9

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Solution for 8/7=x-4/x-9 equation:


D( x )

x = 0

x = 0

x = 0

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

8/7 = x-(4/x)-9 // - x-(4/x)-9

4/x-x+8/7+9 = 0

4*x^-1-1*x^1+71/7*x^0 = 0

(71/7*x^1-1*x^2+4*x^0)/(x^1) = 0 // * x^2

x^1*(71/7*x^1-1*x^2+4*x^0) = 0

x^1

(71/7)*x-x^2+4 = 0

(71/7)*x-x^2+4 = 0

DELTA = (71/7)^2-(-1*4*4)

DELTA = 5825/49

DELTA > 0

x = ((5825/49)^(1/2)-(71/7))/(-1*2) or x = (-(71/7)-(5825/49)^(1/2))/(-1*2)

x = ((5825/49)^(1/2)-71/7)/(-2) or x = ((5825/49)^(1/2)+71/7)/2

x in { ((5825/49)^(1/2)-71/7)/(-2), ((5825/49)^(1/2)+71/7)/2}

x in { ((5825/49)^(1/2)-71/7)/(-2), ((5825/49)^(1/2)+71/7)/2 }

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