59.8=x/(0.2-x)^2

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Solution for 59.8=x/(0.2-x)^2 equation: 


D( x )

(0.2-x)^2 = 0

(0.2-x)^2 = 0

(0.2-x)^2 = 0

0.2-x = 0 // - 0.2

-x = -0.2 // * -1

x = 0.2

x in (-oo:0.2) U (0.2:+oo)

59.8 = x/((0.2-x)^2) // - x/((0.2-x)^2)

59.8-(x/((0.2-x)^2)) = 0

(-1*x)/((0.2-x)^2)+59.8 = 0

(-1*x)/((0.2-x)^2)+(59.8*(0.2-x)^2)/((0.2-x)^2) = 0

59.8*(0.2-x)^2-1*x = 0

59.8*x^2-24.92*x+2.392 = 0

59.8*x^2-24.92*x+2.392 = 0

59.8*x^2-24.92*x+2.392 = 0

DELTA = (-24.92)^2-(2.392*4*59.8)

DELTA = 24.92^2-572.1664

DELTA = 48.84

DELTA > 0

x = ((24.92^2-572.1664)^(1/2)+24.92)/(2*59.8) or x = (24.92-(24.92^2-572.1664)^(1/2))/(2*59.8)

x = 0.0083612*((24.92^2-572.1664)^(1/2)+24.92) or x = 0.0083612*(24.92-(24.92^2-572.1664)^(1/2))

(x-0.0083612*(24.92-(24.92^2-572.1664)^(1/2)))*(x-0.0083612*((24.92^2-572.1664)^(1/2)+24.92)) = 0

((x-0.0083612*(24.92-(24.92^2-572.1664)^(1/2)))*(x-0.0083612*((24.92^2-572.1664)^(1/2)+24.92)))/((0.2-x)^2) = 0

((x-0.0083612*(24.92-(24.92^2-572.1664)^(1/2)))*(x-0.0083612*((24.92^2-572.1664)^(1/2)+24.92)))/((0.2-x)^2) = 0 // * (0.2-x)^2

(x-0.0083612*(24.92-(24.92^2-572.1664)^(1/2)))*(x-0.0083612*((24.92^2-572.1664)^(1/2)+24.92)) = 0

( x-0.0083612*((24.92^2-572.1664)^(1/2)+24.92) )

x-0.0083612*((24.92^2-572.1664)^(1/2)+24.92) = 0 // + -0.0083612*((24.92^2-572.1664)^(1/2)+24.92)

x = -(-0.0083612*((24.92^2-572.1664)^(1/2)+24.92))

x = 0.0083612*((24.92^2-572.1664)^(1/2)+24.92)

( x-0.0083612*(24.92-(24.92^2-572.1664)^(1/2)) )

x-0.0083612*(24.92-(24.92^2-572.1664)^(1/2)) = 0 // + -0.0083612*(24.92-(24.92^2-572.1664)^(1/2))

x = -(-0.0083612*(24.92-(24.92^2-572.1664)^(1/2)))

x = 0.0083612*(24.92-(24.92^2-572.1664)^(1/2))

x in { 0.0083612*((24.92^2-572.1664)^(1/2)+24.92), 0.0083612*(24.92-(24.92^2-572.1664)^(1/2)) }

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