x/4=9/(2*x)

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Solution for x/4=9/(2*x) equation:


D( x )

2*x = 0

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

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

x/4 = 9/(2*x) // - 9/(2*x)

x/4-(9/(2*x)) = 0

x/4+(-9/2)*x^-1 = 0

1/4*x^1-9/2*x^-1 = 0

(1/4*x^2-9/2*x^0)/(x^1) = 0 // * x^2

x^1*(1/4*x^2-9/2*x^0) = 0

x^1

(1/4)*x^2-9/2 = 0

(1/4)*x^2-9/2 = 0

DELTA = 0^2-(4*(1/4)*(-9/2))

DELTA = 9/2

DELTA > 0

x = ((9/2)^(1/2)+0)/(2*(1/4)) or x = (0-(9/2)^(1/2))/(2*(1/4))

x = 2*(9/2)^(1/2) or x = 2*(9/2)^(1/2)

x in { 2*(9/2)^(1/2), 2*(9/2)^(1/2)}

x in { 2*(9/2)^(1/2), 2*(9/2)^(1/2) }

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