To solve the equation √x – 5 = 7, we will follow a few simple steps:
- Isolate the square root:
Start by adding 5 to both sides of the equation to get rid of the constant on the left side:
√x = 7 + 5
√x = 12 - Square both sides:
To eliminate the square root, square both sides of the equation:
(√x)² = 12²
x = 144 - Verify the solution:
It is always a good practice to check if our solution is correct by substituting the value of x back into the original equation:
√144 - 5 = 7
12 - 5 = 7
7 = 7
Since both sides are equal, the solution is confirmed.
Thus, the solution to the equation is x = 144.