Question

I need to know how to solve number 12

Answer 1

12/t+t-8=0
multiply everything by t to get the answer
12+t²-8t=0
t²-8t+12
now use the quadratic formula to solve:
t=-b±√(b²-4ac)/2a
substitute the variables and solve:
t=-(-8)±√(-8²-4(1)(12))/2(1)
t=8± √64-48/2
t=8±√16/2
t=8±4/2
t=6 and t=2
check your work by substituting each answer into the original equation:
12/6+6-8=0
2+-2=0
0=0 correct!
12/2+2-8=0
6+-6=0
0=0 correct!

The correct answer is t=6 and t=2

Answer 2

This is a picture of the work. The answer is t=-4