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June 3rd, 2017, 06:07 AM  #1 
Newbie Joined: Jun 2017 From: England Posts: 1 Thanks: 0  Point of intersection coordinates (Diff)
Hi, I'm revising for an upcoming calculus test and have a differentiation problem. A curve y=x^2 + x + 3 and line y = 2x + 5 are on a graph diagram (not to scale). I need to find the co ordinates for each two points of intersection on the graph. I'm not sure whether I'd use the turning points method for maximum / minimum values? Or whether it's actually an integration problem? With the turning point method would I first add both equations into one simultaneous equation 2x + 5 = x^2 + x + 3 differentiate that, rearrange and then factorise? Or rearrange, differentiate then factorise? Thanks 
June 3rd, 2017, 06:45 AM  #2  
Math Team Joined: Jul 2011 From: Texas Posts: 3,101 Thanks: 1677  Quote:
$x^2+x+3 = 2x+5$ $x^2x2=0$ $(x2)(x+1)=0$ $x=2 \implies y = 9$ $x=1 \implies y = 3$  

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coordinates, diff, intersection, point 
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