(9X+5/3X+10)-(3X+7/X+6)=0

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Solution for (9X+5/3X+10)-(3X+7/X+6)=0 equation:


D( X )

X = 0

X = 0

X = 0

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

9*X+(5/3)*X-(3*X)-(7/X)-6+10 = 0

9*X+(5/3)*X-3*X-7*X^-1-6+10 = 0

23/3*X^1-7*X^-1+4*X^0 = 0

(23/3*X^2+4*X^1-7*X^0)/(X^1) = 0 // * X^2

X^1*(23/3*X^2+4*X^1-7*X^0) = 0

X^1

(23/3)*X^2+4*X-7 = 0

(23/3)*X^2+4*X-7 = 0

DELTA = 4^2-(-7*4*(23/3))

DELTA = 692/3

DELTA > 0

X = ((692/3)^(1/2)-4)/(2*(23/3)) or X = (-(692/3)^(1/2)-4)/(2*(23/3))

X = 3/46*((692/3)^(1/2)-4) or X = -3/46*((692/3)^(1/2)+4)

X in { -3/46*((692/3)^(1/2)+4), 3/46*((692/3)^(1/2)-4)}

X in { -3/46*((692/3)^(1/2)+4), 3/46*((692/3)^(1/2)-4) }

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