SOLUTION: 6t^2-7t=0 Determine the nature of the solutions of the equation. Does this have 2 imaginary solutions 2 real solutions or 1 real solution? Thanks

Algebra ->  Rational-functions -> SOLUTION: 6t^2-7t=0 Determine the nature of the solutions of the equation. Does this have 2 imaginary solutions 2 real solutions or 1 real solution? Thanks      Log On


   

Question 366929: 6t^2-7t=0
Determine the nature of the solutions of the equation.
Does this have 2 imaginary solutions
2 real solutions or
1 real solution?
Thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
From 6t%5E2-7t we can see that a=6, b=-7, and c=0


D=b%5E2-4ac Start with the discriminant formula.


D=%28-7%29%5E2-4%286%29%280%29 Plug in a=6, b=-7, and c=0


D=49-4%286%29%280%29 Square -7 to get 49


D=49-0 Multiply 4%286%29%280%29 to get %2824%29%280%29=0


D=49 Subtract 0 from 49 to get 49


So the discriminant is D=49


Since the discriminant is greater than zero, this means that there are two real solutions.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim