Chapter 9.4, Problem 33PPS

To determine

Find the solutions.

Answer to Problem 33PPS

  $x=10$ or $x=8$

Explanation of Solution

Given Information: $x^2-18x+80=0$

Formula Used : Factorization Method

Calculation:

  $x^2-18x+80=0$

Now, by factorization method

  $x^2-10x-8x+80=0$

So, simplify

  $x\left(x-10\right)-8\left(x-10\right)=0$

Now,

  $\left(x-10\right)(x-8)=0$

Now, compare equation with respect to 0.

  $\left(x-10\right)=0$ or $\left(x-8\right)=0$

So, simplify

  $x=10$ or $x=8$

Hence,

  $x=-0.43$ or $x=3$