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[Music] in this video were going to look at how to solve quadratics by using graphs so here weve got an example it says solve x squared minus 5x plus 6 equals 0 graphically so first of all what were actually going to do is were going to draw the graph so obviously the question says x squared minus 5x plus 6 equals 0. were actually going to draw the graph for y equals x squared minus 5x plus 6. okay so im going to use an xy table so x and y im going to choose values of x of 0 1 2 3 and 4. and im going to work out what the y value is so im going to square it so 0 squared 0 minus five times zero well five times zero is zero so weve got zero minus zero and then plus six so whenever x equals zero uh y equals zero minus zero plus six which equals six so thats our first coordinate zero six so zero six its actually way up here um okay next one one so one squared is whenever x is equal to one y equals one squared which is one minus five times one thats minus five plus six uh one t
