Find the approximate solution to the equation by graphing an appropriate function on a graphing calculator.

Question

x² = 1.9^x

x≈( Round to three decimal places as needed. Use a comma to separate answers as needed)

Answer 1

On your graphing calculator, press the Y= button.  Then enter these functions:

 

\Y₁ = x²

\Y₂ = 1.9^x

 

You should only have these functions inputted in your calculator.

 

Press GRAPH to see the graphs being constructed.  Then press 2ND and TRACE.  Scroll down to select intersect.  Press ENTER.  Then press ENTER 3 times to get your point of intersection.  Read the x coordinate on the bottom of your screen.

 

Your graph will have two points of intersections, so you will have 2 solutions of x.