Question

What is the solution to:
T/t-4=t+4/6

Answer 1

`(t)/(t-4)= (t+4)/(6) \\ t \\eq 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)= (-bб √(D) )/(2a) \\ t_1= (6-10)/(2)=-2 \\ \ t_2= (6+10)/(2)=8`

Answer: t=-2, t=8