Question

Use a graphing calculator or online application to find the solution to 3^-x = x^3 + x to the nearest tenth. The solution is approximately x =

Answer 1

The solution is approximately
x=0.479823 or
x=0.48

hope this helps

Answer 2

The solution is approximately x =0.5.

Explanation:

Given : Equation
`3^(-x) = x^3 + x`

To find : Use a graphing calculator or online application to find the solution to equation to the nearest tenth ?

Solution :

Let the equation be written as,

`h(x)=3^(-x)` and
`g(x)=x^3+x`

Plot the equations (1) and (2),

The equation
`h(x)=3^(-x)` plotted with blue line.

The
`g(x)=x^3+x` plotted with red line.

Refer the attached figure below.

The solution of equation is given by intersection point i.e. (0.4798,0.5903).

The solution is approximately x =0.5.