Question:
solve the equation:
[tex]\sqrt[]{2x+5}\text{ = 3}[/tex]Solution:
Let the following expression:
[tex]\sqrt[]{2x+5}\text{ = 3}[/tex]Squaring both sides of the equation, we obtain:
[tex]2x+5\text{ = }9[/tex]solving for 2x, we get:
[tex]2x\text{ = 9-5 = 4}[/tex]solving for x, we get:
[tex]x\text{ = }\frac{4}{2}\text{ = 2}[/tex]then, we can conclude that the correct solution is:
[tex]x\text{ = 2}[/tex]