Solve the equation√(2x + 5 \: \:) = 3

Question

Solve the equation
`√(2x + 5 \: \:) = 3`

Answer 1

Question:

solve the equation:

`\sqrt[]{2x+5}\text{ = 3}`

Solution:

Let the following expression:

`\sqrt[]{2x+5}\text{ = 3}`

Squaring both sides of the equation, we obtain:

`2x+5\text{ = }9`

solving for 2x, we get:

`2x\text{ = 9-5 = 4}`

solving for x, we get:

`x\text{ = }(4)/(2)\text{ = 2}`

then, we can conclude that the correct solution is:

`x\text{ = 2}`