SOLUTION: From a worksheet. Solve 2x^2=3x+2 by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located. I must show my work, and don't

There are two ways to do this by graphing:

Method 1:

Graph }
That is, draw the graph of 


Now draw the graph of the 
That is, draw the graph of  on the
same set of axes:



From each of the two points where they cross,
draw a vertical line directly to the x-axis, 
like this:



Notice that the vertical line on the left appears
to hit the x-axis at  and the right
vertical line appears to hit the x-axis at 

So It appears the roots are  and .

Method 2:



Get 0 on the right side;



Temporarily replace the 0 by y:

Draw the graph of 





Now since we started with 

y can  DISABLED_event_ONLY=  0, so the only valid points on
that graph are the two points which are ON
the x-axis.  That's because every point on the 
x-asis has 0 for its y-coordinate.  Also the
points on the x-axis are the only ones which
have their y-values 0.

So the two roots appear to be  and .

I'm not sure which method your teacher wants.  Either
is correct, but be sure to ask your teacher.

Edwin