Chapter 9.4, Problem 19PPS

To determine

Find the solution.

Answer to Problem 19PPS

  $c=\pm 10$

Explanation of Solution

Given Information: $c^2-10=90$

Formula Used: Prime Factorization

Calculation:

  $c^2-10=90$

So,

  $c^2=90+10$

Hence,

  $c^2=100$

Now, square root both sides.

  $c=\sqrt{100}$

Now, Simplify by breaking into multiplication of prime numbers

  $\sqrt{100}=\sqrt{10\times 10}$

Now, pull out pair of prime numbers.

  $\sqrt{100}=\pm 10$

Now put the value of c.

  $c=\pm 10$