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Solving the Equation (x+3)^2 = 100
This equation involves a squared term, making it a quadratic equation. We can solve it using the following steps:
1. Take the square root of both sides
The square root of a squared term is the original term itself. Therefore:
√((x+3)^2) = ±√100
This gives us:
x + 3 = ±10
2. Isolate x
To isolate x, we need to subtract 3 from both sides:
x + 3 - 3 = ±10 - 3
This simplifies to:
x = ±10 - 3
3. Solve for the two possible values of x
Now we have two possible solutions:
- x = 10 - 3 = 7
- x = -10 - 3 = -13
Therefore, the solutions to the equation (x+3)^2 = 100 are x = 7 and x = -13.