(0.04)=(0.04)t/(t^2-2)

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Solution for (0.04)=(0.04)t/(t^2-2) equation: 


D( t )

t^2-2 = 0

t^2-2 = 0

t^2-2 = 0

1*t^2 = 2 // : 1

t^2 = 2

t^2 = 2 // ^ 1/2

abs(t) = 2^(1/2)

t = 2^(1/2) or t = -2^(1/2)

t in (-oo:-2^(1/2)) U (-2^(1/2):2^(1/2)) U (2^(1/2):+oo)

0.04 = (0.04*t)/(t^2-2) // - (0.04*t)/(t^2-2)

0.04-((0.04*t)/(t^2-2)) = 0

0.04-0.04*t*(t^2-2)^-1 = 0

(-0.04*t)/(t^2-2)+0.04 = 0

(-0.04*t)/(t^2-2)+(0.04*(t^2-2))/(t^2-2) = 0

0.04*(t^2-2)-0.04*t = 0

0.04*t^2-0.04*t-0.08 = 0

0.04*t^2-0.04*t-0.08 = 0

0.04*t^2-0.04*t-0.08 = 0

DELTA = (-0.04)^2-(-0.08*0.04*4)

DELTA = 0.04^2+0.0128

DELTA = 0.0144

DELTA > 0

t = ((0.04^2+0.0128)^(1/2)+0.04)/(0.04*2) or t = (0.04-(0.04^2+0.0128)^(1/2))/(0.04*2)

t = 12.5*((0.04^2+0.0128)^(1/2)+0.04) or t = 12.5*(0.04-(0.04^2+0.0128)^(1/2))

(t-12.5*(0.04-(0.04^2+0.0128)^(1/2)))*(t-12.5*((0.04^2+0.0128)^(1/2)+0.04)) = 0

((t-12.5*(0.04-(0.04^2+0.0128)^(1/2)))*(t-12.5*((0.04^2+0.0128)^(1/2)+0.04)))/(t^2-2) = 0

((t-12.5*(0.04-(0.04^2+0.0128)^(1/2)))*(t-12.5*((0.04^2+0.0128)^(1/2)+0.04)))/(t^2-2) = 0 // * t^2-2

(t-12.5*(0.04-(0.04^2+0.0128)^(1/2)))*(t-12.5*((0.04^2+0.0128)^(1/2)+0.04)) = 0

( t-12.5*((0.04^2+0.0128)^(1/2)+0.04) )

t-12.5*((0.04^2+0.0128)^(1/2)+0.04) = 0 // + -12.5*((0.04^2+0.0128)^(1/2)+0.04)

t = -(-12.5*((0.04^2+0.0128)^(1/2)+0.04))

t = 12.5*((0.04^2+0.0128)^(1/2)+0.04)

( t-12.5*(0.04-(0.04^2+0.0128)^(1/2)) )

t-12.5*(0.04-(0.04^2+0.0128)^(1/2)) = 0 // + -12.5*(0.04-(0.04^2+0.0128)^(1/2))

t = -(-12.5*(0.04-(0.04^2+0.0128)^(1/2)))

t = 12.5*(0.04-(0.04^2+0.0128)^(1/2))

t in { 12.5*((0.04^2+0.0128)^(1/2)+0.04), 12.5*(0.04-(0.04^2+0.0128)^(1/2)) }

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