SOLUTION: Determine the nature of the solutions of the equation. 2t^2-7t=0 Are there 2 imanginary solutions, 2 real solutions, or 1 real solution?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Determine the nature of the solutions of the equation. 2t^2-7t=0 Are there 2 imanginary solutions, 2 real solutions, or 1 real solution?      Log On


   

Question 341846: Determine the nature of the solutions of the equation. 2t^2-7t=0 Are there 2 imanginary solutions, 2 real solutions, or 1 real solution?
Answer by Fombitz(32388) About Me  (Show Source):
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Use the discriminant.
a=2
b=-7
c=0
.
.
.
D=b%5E2-4ac
D=%28-7%29%5E2-4%282%29%280%29
D=49
Since D%3E0, there are 2 real solutions.
Since D is a perfect square, the two solutions are rational.