3(x/5)=21/x

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Solution for 3(x/5)=21/x equation: 


D( x )

x = 0

x = 0

x = 0

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

3*(x/5) = 21/x // - 21/x

3*(x/5)-(21/x) = 0

3*(x/5)-21*x^-1 = 0

3/5*x^1-21*x^-1 = 0

(3/5*x^2-21*x^0)/(x^1) = 0 // * x^2

x^1*(3/5*x^2-21*x^0) = 0

x^1

(3/5)*x^2-21 = 0

(3/5)*x^2-21 = 0

DELTA = 0^2-(-21*4*(3/5))

DELTA = 252/5

DELTA > 0

x = ((252/5)^(1/2)+0)/(2*(3/5)) or x = (0-(252/5)^(1/2))/(2*(3/5))

x = 5/6*(252/5)^(1/2) or x = 5/6*(252/5)^(1/2)

x in { 5/6*(252/5)^(1/2), 5/6*(252/5)^(1/2)} 

x in { 5/6*(252/5)^(1/2), 5/6*(252/5)^(1/2) }

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