Question 1209656
<pre>
On your TI-84 graphing calculator
Press y=
Enter √(x²+(1/3)(x²-7+2x)²)
Press zoom 6
See this graph

{{{graph(375,225,-10,10,-10,10,sqrt(x^2+(1/3)(x^2-7+2x)^2))}}}

Press 2nd trace
Choose 3:minimum
Use arrow key to place cursor a little left of the minimum point.
Press enter
Use arrow key to place cursor a little right of the minimum point.
Press enter twice
See cursor move to minimum point
Read at the bottom of screen
X=1.6578865      Y=1.7436727

So the mimimum value of y is 1.7436727, approximately.

Edwin</pre>