Chapter ISG, Problem 9.9.1.4P

To determine

To solve eauation.

  $-0.5x^2+3x+21=2^x$

Answer to Problem 9.9.1.4P

  $x=-4$

  $x=5$

Explanation of Solution

Given information:

  $-0.5x^2+3x+21=2^x$

Calculation:

  $-0.5x^2+3x+21=2^x$

Table

  

From table

At $x\approx -4.13$ ,

Then

  $-0.5x^2+3x+21=2^x$

Left hand side equal to right hand side

At $x\approx 4.598$ ,

Then

  $14{(1.9)}^x=5.5x+33$

Left hand side equal to right hand side

These are points are the solution of the equation

Then approximate answer are

  $x=-4$

  $x=5$