(5760/T)-(7T/4)=18

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Solution for (5760/T)-(7T/4)=18 equation:


D( T )

T = 0

T = 0

T = 0

T in (-oo:0) U (0:+oo)

5760/T-((7*T)/4) = 18 // - 18

5760/T-((7*T)/4)-18 = 0

(-7/4)*T+5760/T-18 = 0

5760*T^-1-7/4*T^1-18*T^0 = 0

(5760*T^0-7/4*T^2-18*T^1)/(T^1) = 0 // * T^2

T^1*(5760*T^0-7/4*T^2-18*T^1) = 0

T^1

(-7/4)*T^2-18*T+5760 = 0

(-7/4)*T^2-18*T+5760 = 0

DELTA = (-18)^2-(4*5760*(-7/4))

DELTA = 40644

DELTA > 0

T = (40644^(1/2)+18)/(2*(-7/4)) or T = (18-40644^(1/2))/(2*(-7/4))

T = -2/7*(6*1129^(1/2)+18) or T = -2/7*(18-6*1129^(1/2))

T in { -2/7*(6*1129^(1/2)+18), -2/7*(18-6*1129^(1/2))}

T in { -2/7*(6*1129^(1/2)+18), -2/7*(18-6*1129^(1/2)) }

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