2t+1/(8t-14)

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Solution for 2t+1/(8t-14) equation:


D( t )

8*t-14 = 0

8*t-14 = 0

8*t-14 = 0

8*t-14 = 0 // + 14

8*t = 14 // : 8

t = 14/8

t = 7/4

t in (-oo:7/4) U (7/4:+oo)

1/(8*t-14)+2*t = 0

1/(8*t-14)+(2*t*(8*t-14))/(8*t-14) = 0

2*t*(8*t-14)+1 = 0

16*t^2-28*t+1 = 0

16*t^2-28*t+1 = 0

16*t^2-28*t+1 = 0

DELTA = (-28)^2-(1*4*16)

DELTA = 720

DELTA > 0

t = (720^(1/2)+28)/(2*16) or t = (28-720^(1/2))/(2*16)

t = (12*5^(1/2)+28)/32 or t = (28-12*5^(1/2))/32

(t-((28-12*5^(1/2))/32))*(t-((12*5^(1/2)+28)/32)) = 0

((t-((28-12*5^(1/2))/32))*(t-((12*5^(1/2)+28)/32)))/(8*t-14) = 0

((t-((28-12*5^(1/2))/32))*(t-((12*5^(1/2)+28)/32)))/(8*t-14) = 0 // * 8*t-14

(t-((28-12*5^(1/2))/32))*(t-((12*5^(1/2)+28)/32)) = 0

( t-((12*5^(1/2)+28)/32) )

t-((12*5^(1/2)+28)/32) = 0 // + (12*5^(1/2)+28)/32

t = (12*5^(1/2)+28)/32

( t-((28-12*5^(1/2))/32) )

t-((28-12*5^(1/2))/32) = 0 // + (28-12*5^(1/2))/32

t = (28-12*5^(1/2))/32

t in { (12*5^(1/2)+28)/32, (28-12*5^(1/2))/32 }

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