Chapter 9.7, Problem 17PPS

To determine

Solve the equations.

Answer to Problem 17PPS

  $\left(x,y\right)=\left(3,9\right),\left(-3,9\right)$

Explanation of Solution

Given Information: $y=x^2$ and $y-9=0$

Formula Used: Factorization

Calculation:

  $y=x^2$ and $y-9=0$

So,

  $y=x^2$ and $y=9$

Now, equate

  $x^2=9$

Now, square root both sides.

  $x=\pm 3$

So, find value of $y$

  $y=x^2$ or $y=9$

Now, put $x=3$ or $x=-3$

  $y=3^2$ or $y=9$

Hence,

  $y=9$ or $y=9$