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03-03-2010, 04:31 PM #6
Completing the square - Wikipedia, the free encyclopedia
t^2 - 9t +61/4 -> (t-(9/2))^2 + (-5) completing the square. Check the formula how these were calcumulated.
"ƒ(x − h) + k = (x − h)2 + k is a parabola shifted to the right by h and upward by k whose vertex is at (h, k), as shown in the bottom figure."
so, it reaches it's lowest at t=4.5, which is -5, like hydraral said. However, without the theory behind it, math is just guessing.
I could be wrong though.Last edited by ursus; 03-03-2010 at 04:33 PM.