Question

Solve please √x-5+7=9

Answer 1

The correct answer is x=49

Step 1: move constant to the right
Step 2: subtract the numbers
Step 3: square both sides
Step 4: check the solution
Step 5: simplify the equality
Step 6: x = 49 is a solution

Answer 2

For this case we must solve the given equation, for this we follow the steps below:

`\sqrt {x-5} + 7 = 9`

Step 1:

We subtract 7 from both sides of the equation:

`\sqrt {x-5} + 7-7 = 9-7\\\sqrt {x-5} = 9-7\\\sqrt {x-5} = 2`

Step 2:

We raise both sides of the equation to the square:

`{(\sqrt {x-5})} ^ 2 = 2 ^ 2\\{(\sqrt {x-5})} ^ 2 = 4`

By definition, we know that:
`{(\sqrt {x})} ^ 2 = x`, so we have:

`x-5 = 4`

Step 3:

We add 5 to both sides of the equation:

`x-5 + 5 = 4 + 5\\x = 9`

Answer:

The value of x is 9.