SOLUTION: State the value of the descriminant & describe the nature of the roots in 5x^2=4x+6

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Question 300627: State the value of the descriminant & describe the nature of the roots in 5x^2=4x+6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5x%5E2=4x%2B6 Start with the given equation.


5x%5E2-4x-6=0 Get every term to the left side.


From 5x%5E2-4x-6 we can see that a=5, b=-4, and c=-6


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


D=%28-4%29%5E2-4%285%29%28-6%29 Plug in a=5, b=-4, and c=-6


D=16-4%285%29%28-6%29 Square -4 to get 16


D=16--120 Multiply 4%285%29%28-6%29 to get %2820%29%28-6%29=-120


D=16%2B120 Rewrite D=16--120 as D=16%2B120


D=136 Add 16 to 120 to get 136


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