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What is the largest number c such that \(2x^2+5x+c=0\) has at least one real solution?

 Mar 24, 2022
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It will have a real solution so long as  b^2-4ac is greater or equal to 0

 

\(b^2-4ac\ge0\\ 25-8c\ge0\\ -8c\ge-25\\ 8c\le25\\ c\le 3.125\)

 Mar 24, 2022

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