carolbechara
carolbechara
25-06-2017
Mathematics
contestada
What is the solution to:
T/t-4=t+4/6
Respuesta :
Banabanana
Banabanana
25-06-2017
[tex] \frac{t}{t-4}= \frac{t+4}{6} \\ t \neq 4 \\ 6t= (t+4)(t-4) \\ 6t=t^2-16 \\ t^2-6t-16=0 \\ D=b^2-4ac=(-6)^2-4*1*(-16)=36+64=100 \\ t_{1,2}= \frac{-bб \sqrt{D} }{2a} \\ t_1= \frac{6-10}{2}=-2 \\ \ t_2= \frac{6+10}{2}=8[/tex]
Answer: t=-2, t=8
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