SOLUTION: State the value of the discriminant and then describe the nature of the solutions 3x^2+4x-11=0

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Question 481197: State the value of the discriminant and then describe the nature of the solutions
3x^2+4x-11=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
From 3x%5E2%2B4x-11 we can see that a=3, b=4, and c=-11


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


D=%284%29%5E2-4%283%29%28-11%29 Plug in a=3, b=4, and c=-11


D=16-4%283%29%28-11%29 Square 4 to get 16


D=16--132 Multiply 4%283%29%28-11%29 to get %2812%29%28-11%29=-132


D=16%2B132 Rewrite D=16--132 as D=16%2B132


D=148 Add 16 to 132 to get 148


So the discriminant is D=148


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