10/x-4=x/50

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Solution for 10/x-4=x/50 equation:


D( x )

x = 0

x = 0

x = 0

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

10/x-4 = x/50 // - x/50

10/x-(x/50)-4 = 0

10*x^-1-1/50*x^1-4*x^0 = 0

(10*x^0-1/50*x^2-4*x^1)/(x^1) = 0 // * x^2

x^1*(10*x^0-1/50*x^2-4*x^1) = 0

x^1

(-1/50)*x^2-4*x+10 = 0

(-1/50)*x^2-4*x+10 = 0

DELTA = (-4)^2-(4*10*(-1/50))

DELTA = 84/5

DELTA > 0

x = ((84/5)^(1/2)+4)/(2*(-1/50)) or x = (4-(84/5)^(1/2))/(2*(-1/50))

x = -25*((84/5)^(1/2)+4) or x = -25*(4-(84/5)^(1/2))

x in { -25*((84/5)^(1/2)+4), -25*(4-(84/5)^(1/2))}

x in { -25*((84/5)^(1/2)+4), -25*(4-(84/5)^(1/2)) }

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