Chapter ISG, Problem 9.9.1.6P

To determine

To solve eauation.

  $x^2-24x+144=60{(0.9)}^x$

Answer to Problem 9.9.1.6P

  $x=-34$

  $x=6$

  $x=15$

Explanation of Solution

Given information:

  $x^2-24x+144=60{(0.9)}^x$

Calculation:

  $x^2-24x+144=60{(0.9)}^x$

  

From graph

At $x\approx -33.68$ ,

Then

  $x^2-24x+144=60{(0.9)}^x$

Left hand side equal to right hand side

At $x\approx 6.49$ ,

Then

  $x^2-24x+144=60{(0.9)}^x$

Left hand side equal to right hand side

At $x\approx 15.43$ ,

Then

  $x^2-24x+144=60{(0.9)}^x$

Left hand side equal to right hand side

These are points are the solution of the equation

Then approximate answer are

  $x=-34$

  $x=6$

  $x=15$