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In which quadrant(s) do the graphs of y=x^2  and y=3x+10 intersect?

 Nov 8, 2021
 #1
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sketch them using Desmos

 

https://www.desmos.com/calculator

 Nov 8, 2021
 #2
avatar+12691 
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In which quadrant(s) do the graphs of y=x^2  and y=3x+10 intersect?

 

Hello Guest!

 

\(y=x^2=3x+10\\ x^2=3x+10\\ x^2-3x-10=0\\ x=1.5\pm \sqrt{2.25+10}\\ x\in \{-2,5\}\\ y\ \in\ \{\ 4,25\}\)

They intersect in quadrants I and II.

laugh  !

 Nov 8, 2021
edited by asinus  Nov 8, 2021

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