the following equation cannot be solved symbolically. solve the equation graphically.

Question

the following equation cannot be solved symbolically. solve the equation graphically. 

 

4x + e^x = 2

 

x = ?

 

(Round to the nearest hundredth as needed.) 

Answer 1

In order to solve the equation graphically, you need to know what to graph.  You can always consider any equation as two separate equations set equal to each other.  As it is, you can use a graphing calculator to graph y = 4x+e^x, and y = 2.  Because they are equal to each other, you only need to find out where they intersect.

 

Once you have both of these equations graphed on your calculator, use the intercept function to find the point where they intersect.  You should get x = 0.1959..., y = 2.  Then round your answer appropriately.