3/2x-7/x=-3

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Solution for 3/2x-7/x=-3 equation:


D( x )

x = 0

x = 0

x = 0

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

(3/2)*x-(7/x) = -3 // + 3

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

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

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

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

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

x^1

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

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

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

DELTA = 51

DELTA > 0

x = (51^(1/2)-3)/(2*(3/2)) or x = (-51^(1/2)-3)/(2*(3/2))

x = (51^(1/2)-3)/3 or x = (-(51^(1/2)+3))/3

x in { (-(51^(1/2)+3))/3, (51^(1/2)-3)/3}

x in { (-(51^(1/2)+3))/3, (51^(1/2)-3)/3 }

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