Chapter 9.4, Problem 4AGP

To determine

Find the solution.

Answer to Problem 4AGP

  $x=\pm 7$

Explanation of Solution

Given Information: $49-x^2=0$

Formula Used: Prime Factorization

Calculation:

  $49-x^2=0$

So,

  $x^2=49$

Now, square root both sides.

  $x=\sqrt{49}$

Now, Simplify by breaking into multiplication of prime numbers

  $\sqrt{49}=\sqrt{7\times 7}$

Now, pull out pair of prime numbers.

  $\sqrt{49}=\pm 7$

Now put the value of x.

  $x=\pm 7$