SOLUTION: For the following equation, state the value of the discriminant and then describe the nature of the solutions. 14x^2-9x-7=0

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Question 199285: For the following equation, state the value of the discriminant and then describe the nature of the solutions. 14x^2-9x-7=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

From 14x%5E2-9x-7 we can see that a=14, b=-9, and c=-7


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


D=%28-9%29%5E2-4%2814%29%28-7%29 Plug in a=14, b=-9, and c=-7


D=81-4%2814%29%28-7%29 Square -9 to get 81


D=81--392 Multiply 4%2814%29%28-7%29 to get %2856%29%28-7%29=-392


D=81%2B392 Rewrite D=81--392 as D=81%2B392


D=473 Add 81 to 392 to get 473


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