3x/8=6/x

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Solution for 3x/8=6/x equation:


D( x )

x = 0

x = 0

x = 0

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

(3*x)/8 = 6/x // - 6/x

(3*x)/8-(6/x) = 0

(3*x)/8-6*x^-1 = 0

3/8*x^1-6*x^-1 = 0

(3/8*x^2-6*x^0)/(x^1) = 0 // * x^2

x^1*(3/8*x^2-6*x^0) = 0

x^1

(3/8)*x^2-6 = 0

(3/8)*x^2-6 = 0

DELTA = 0^2-(-6*4*(3/8))

DELTA = 9

DELTA > 0

x = (9^(1/2)+0)/(2*(3/8)) or x = (0-9^(1/2))/(2*(3/8))

x = 4 or x = -4

x in { -4, 4}

x in { -4, 4 }

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