(0.4/50)/((0.6/50)((x-0.8)/50)^2)=247

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Solution for (0.4/50)/((0.6/50)((x-0.8)/50)^2)=247 equation: 


D( x )

(0.6/50)*((x-0.8)/50)^2 = 0

(0.6/50)*((x-0.8)/50)^2 = 0

(0.6/50)*((x-0.8)/50)^2 = 0

(0.012*(x-0.8)^2)/(50^2) = 0

( 0.012 )

0.012 = 0

x belongs to the empty set

( x-0.8 )

x-0.8 = 0 // + 0.8

x = 0.8

x in (-oo:0.8) U (0.8:+oo)

(0.4/50)/((0.6/50)*((x-0.8)/50)^2) = 247 // - 247

(0.4/50)/((0.6/50)*((x-0.8)/50)^2)-247 = 0

(0.008*50^2)/(0.012*(x-0.8)^2)-247 = 0

(0.008*50^2)/(0.012*(x-0.8)^2)+(-247*0.012*(x-0.8)^2)/(0.012*(x-0.8)^2) = 0

0.008*50^2-247*0.012*(x-0.8)^2 = 0

4.7424*x-2.964*x^2+18.10304 = 0

4.7424*x-2.964*x^2+18.10304 = 0

4.7424*x-2.964*x^2+18.10304 = 0

DELTA = 4.7424^2-(-2.964*4*18.10304)

DELTA = 4.7424^2+214.62964224

DELTA = 237.12

DELTA > 0

x = ((4.7424^2+214.62964224)^(1/2)-4.7424)/(-2.964*2) or x = (-(4.7424^2+214.62964224)^(1/2)-4.7424)/(-2.964*2)

x = -0.16869096*((4.7424^2+214.62964224)^(1/2)-4.7424) or x = 0.16869096*((4.7424^2+214.62964224)^(1/2)+4.7424)

(x+0.16869096*((4.7424^2+214.62964224)^(1/2)-4.7424))*(x-0.16869096*((4.7424^2+214.62964224)^(1/2)+4.7424)) = 0

((x+0.16869096*((4.7424^2+214.62964224)^(1/2)-4.7424))*(x-0.16869096*((4.7424^2+214.62964224)^(1/2)+4.7424)))/(0.012*(x-0.8)^2) = 0

((x+0.16869096*((4.7424^2+214.62964224)^(1/2)-4.7424))*(x-0.16869096*((4.7424^2+214.62964224)^(1/2)+4.7424)))/(0.012*(x-0.8)^2) = 0 // * 0.012*(x-0.8)^2

(x+0.16869096*((4.7424^2+214.62964224)^(1/2)-4.7424))*(x-0.16869096*((4.7424^2+214.62964224)^(1/2)+4.7424)) = 0

( x+0.16869096*((4.7424^2+214.62964224)^(1/2)-4.7424) )

x+0.16869096*((4.7424^2+214.62964224)^(1/2)-4.7424) = 0 // - 0.16869096*((4.7424^2+214.62964224)^(1/2)-4.7424)

x = -(0.16869096*((4.7424^2+214.62964224)^(1/2)-4.7424))

x = -0.16869096*((4.7424^2+214.62964224)^(1/2)-4.7424)

( x-0.16869096*((4.7424^2+214.62964224)^(1/2)+4.7424) )

x-0.16869096*((4.7424^2+214.62964224)^(1/2)+4.7424) = 0 // + -0.16869096*((4.7424^2+214.62964224)^(1/2)+4.7424)

x = -(-0.16869096*((4.7424^2+214.62964224)^(1/2)+4.7424))

x = 0.16869096*((4.7424^2+214.62964224)^(1/2)+4.7424)

x in { -0.16869096*((4.7424^2+214.62964224)^(1/2)-4.7424), 0.16869096*((4.7424^2+214.62964224)^(1/2)+4.7424) }

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