SOLUTION: find the greatest value of 3+5x-2x^2 if x is a real no.

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Question 891809: find the greatest value of 3+5x-2x^2 if x is a real no.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
That means, find the vertex of the function, since the vertex will be a maximum.

Complete the Square using %285%2F%282%2A2%29%29%5E2=%285%2F4%29%5E2 and convert the expression (after appropriate arithmetic and simplifications) into:

highlight%28-2%28x-5%2F4%29%5E2%2B49%2F8%29.
The maximum point is the vertex, (5/4, 49/8).