I'm not sure I need to post the whole question, but if i'm having difficulty I will. Basically I'm not sure what the root they are asking me to find is. I have a curve of y=2x(adsbygoogle = window.adsbygoogle || []).push({}); ^{2}(6-x) and the line y=-3x+36 and I've plotted both of these on a graph. I've shown that where the line and the curve meet 2x^{3}-12x^{2}-3x+36=0 (as the question asked), and now its asking me to "find from your graph approximate values for two positive roots of this equation."

Now, I thought that roots are where it corsses the Y axis and x=0, but my common sense is telling me it wants me to read off the two values on my graph where the line intercepts the curve. So, its either where the curve meets the X axis (0,0) and (6,0), or the two intercepts between the lines, which my graph implies are (1.9 , 30) and (5.75 , 10.95), but I'm confused about which ones would be considered to two roots???

thanks.

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# Question about roots

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