Chapter 10, Problem 10CT

To determine

To solve the equation.

Answer to Problem 10CT

  $x=3$

Explanation of Solution

Given information: $\sqrt{8x-21}=\sqrt{18-5x}$

Formula Used: Simplify

Calculation:

  $\sqrt{8x-21}=\sqrt{18-5x}$

So, squaring both sides

  ${\left(\sqrt{8x-21}\right)}^2={\left(\sqrt{18-5x}\right)}^2$

Now,

  $8x-21=18-5x$

So,

  $8x+5x=18+21$

Now,

  $13x=39$

So,

  $x=\frac{39}{13}$

Hence,

  $x=3$