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Hello, The question, which is in the attached image, is simple but confusing. Of the four possible solutions to an equation, we are supposed to find the solution with the greatest value. How can a solution to an equation, which is simply a coordinate (x,y), even have a value? Any help would be greatly appreciated. Thanks, Achal

Hello,
 
The question, which is in the attached image, is simple but confusing. Of the four possible solutions to an equation, we are supposed to find the solution with the greatest value.
 
How can a solution to an equation,  which is simply a coordinate (x,y), even have a value?
 
Any help would be greatly appreciated.
 
Thanks,
Achal

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1 Answers

Vikas TU
14149 Points
7 years ago
Dear achal i think U R not familiar with the concept of maxima-minima process.
To obtain maximum or minimum value for any function we do differentiation and obtain crictiacl points.
Then we put those critical values in the supplied function and greatest value is maxima and smallest values is minima.
In your case the function given is:
3x^3 + 4x^2 – 5x = let (y)
Differentiate it and equate it to zero.
taht is:
9x^2 – 8x – 5 = 0
solve the quadratic,
x = (8 + root244)/18 
and = (8 - root244)/18
Reducte it further and cheeck the options.

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