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Completing the square is another way of solving quadratics (as well as by factorising and by using the quadratic formula). Completing the square will always work, whatever the quadratic (whereas factorising does not always work). Completing the square also helps us when sketching the graph, as it provides us with the coordinates of the turning point (minimum or maximum). In this video we look at how to plot the quadratic using completing the square. Completing the square quickly gives us the coordinates of the turning point, and if we solve it we get the coordinates of the points that the quadratic crosses the x-axis. The quadratic equation already gives us the y-intercept. So we have 4 points from which we can sketch the quadratic from. (x - a)2 + b = 0, where (a, b) are the coordinates of the minimum/maximum point.
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The study of finches led to the development of one of the most important scientific theories of all time.
In December 1831 a naturalist called Charles Darwin boarded the HMS Beagle, bound on a surveying voyage of South America. Whilst the ship and crew carried out coastline surveys, Darwin was fre
Learn the basics about halogenation within the alkanes and alkenes part of organic chemistry.
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This video is part of 'Chemistry for
The Mean | Statistics & Probability
Bob is training for a race and is timing himself to check he’s getting faster.
Times (in minutes):
51 48 45 44 47
50 44 47 45 43
49 44 43 44
His times are a bit inconsistent.
He wants to find his average, to get a better understanding of what time he is likel