5x/16=125/x

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Solution for 5x/16=125/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(5*x)/16 = 125/x // - 125/x

(5*x)/16-(125/x) = 0

(5*x)/16-125*x^-1 = 0

5/16*x^1-125*x^-1 = 0

(5/16*x^2-125*x^0)/(x^1) = 0 // * x^2

x^1*(5/16*x^2-125*x^0) = 0

x^1

(5/16)*x^2-125 = 0

(5/16)*x^2-125 = 0

DELTA = 0^2-(-125*4*(5/16))

DELTA = 625/4

DELTA > 0

x = ((625/4)^(1/2)+0)/(2*(5/16)) or x = (0-(625/4)^(1/2))/(2*(5/16))

x = 20 or x = -20

x in { -20, 20} 

x in { -20, 20 }

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