9/3=4x-7/x

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Solution for 9/3=4x-7/x equation: 


D( x )

x = 0

x = 0

x = 0

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

9/3 = 4*x-(7/x) // - 4*x-(7/x)

7/x-(4*x)+9/3 = 0

7/x-4*x+9/3 = 0

7*x^-1-4*x^1+3*x^0 = 0

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

x^1*(3*x^1-4*x^2+7*x^0) = 0

x^1

3*x-4*x^2+7 = 0

3*x-4*x^2+7 = 0

DELTA = 3^2-(-4*4*7)

DELTA = 121

DELTA > 0

x = (121^(1/2)-3)/(-4*2) or x = (-121^(1/2)-3)/(-4*2)

x = -1 or x = 7/4

x in { -1, 7/4} 

x in { -1, 7/4 }

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