Question 34470
mukhoadhyah one major problem you did.

t^2+1=13/6t==>6t(t^2+1)=13/6t(6t)==>6t^3+6t=13t==>6t^3-7t=0==>t(6t^2-7)=0
6t^2-7=0==>6t^2=0==>7/6=t^2==>t=plus or minus the square root of 7/6.