150/(1+t)^2=50

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Solution for 150/(1+t)^2=50 equation:


D( t )

(t+1)^2 = 0

(t+1)^2 = 0

(t+1)^2 = 0

t+1 = 0 // - 1

t = -1

t in (-oo:-1) U (-1:+oo)

150/((t+1)^2) = 50 // - 50

150/((t+1)^2)-50 = 0

150/((t+1)^2)+(-50*(t+1)^2)/((t+1)^2) = 0

150-50*(t+1)^2 = 0

100-50*t^2-100*t = 0

100-50*t^2-100*t = 0

50*(2-t^2-2*t) = 0

2-t^2-2*t = 0

DELTA = (-2)^2-(-1*2*4)

DELTA = 12

DELTA > 0

t = (12^(1/2)+2)/(-1*2) or t = (2-12^(1/2))/(-1*2)

t = (2*3^(1/2)+2)/(-2) or t = (2-2*3^(1/2))/(-2)

50*(t-((2*3^(1/2)+2)/(-2)))*(t-((2-2*3^(1/2))/(-2))) = 0

(50*(t-((2*3^(1/2)+2)/(-2)))*(t-((2-2*3^(1/2))/(-2))))/((t+1)^2) = 0

(50*(t-((2*3^(1/2)+2)/(-2)))*(t-((2-2*3^(1/2))/(-2))))/((t+1)^2) = 0 // * (t+1)^2

50*(t-((2*3^(1/2)+2)/(-2)))*(t-((2-2*3^(1/2))/(-2))) = 0

( t-((2*3^(1/2)+2)/(-2)) )

t-((2*3^(1/2)+2)/(-2)) = 0 // + (2*3^(1/2)+2)/(-2)

t = (2*3^(1/2)+2)/(-2)

( t-((2-2*3^(1/2))/(-2)) )

t-((2-2*3^(1/2))/(-2)) = 0 // + (2-2*3^(1/2))/(-2)

t = (2-2*3^(1/2))/(-2)

t in { (2*3^(1/2)+2)/(-2), (2-2*3^(1/2))/(-2) }

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