Answer:
(-0.283, -0.733)
Step-by-step explanation:
There are various ways in which to approximate the solution. One is to use a graphing calculator and graph the two functions separately, then determine the point of intersection. The first function has a parabolic graph that opens down, whereas the second function has an exponential graph which heads downward as x increases.
At first try I found that the two graphs intersect in Quadrant III, at approximately (-1/2, -3/4).
Next I used my calculator's CALC tools, specifically that which finds the coordinates of the intersection of two graphs, ending up with these coordinates: (-0.283, -0.733). These coordinates are to the nearest thousandths.
If and when you take Calculus, you'll learn Newton's Method for Finding Roots, which doesn't require a graphing calculator.
