SOLUTION: I need Finding b^2-4ac and the number real solutions for this equation. -3x^2 + 7x = 0

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Question 329636: I need Finding b^2-4ac and the number real solutions for this equation.

-3x^2 + 7x = 0

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

From -3x%5E2%2B7x we can see that a=-3, b=7, and c=0


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


D=%287%29%5E2-4%28-3%29%280%29 Plug in a=-3, b=7, and c=0


D=49-4%28-3%29%280%29 Square 7 to get 49


D=49-0 Multiply 4%28-3%29%280%29 to get %28-12%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.


Note: because the discriminant is a perfect square, this means that the two solutions are rational solutions.