%5E2%3D16.jpeg "(x+4)^2=16")
Solving the Equation (x + 4)² = 16
This equation involves a squared term, so we'll need to use the square root property to solve for x. Here's a step-by-step guide:
1. Isolate the Squared Term
The squared term is already isolated on the left side of the equation.
2. Take the Square Root of Both Sides
Taking the square root of both sides helps us get rid of the exponent:
√((x + 4)²) = ±√16
3. Simplify
This gives us:
x + 4 = ±4
4. Solve for x
Now we have two separate equations to solve:
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x + 4 = 4 Subtract 4 from both sides: x = 0
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x + 4 = -4 Subtract 4 from both sides: x = -8
Solutions
Therefore, the solutions to the equation (x + 4)² = 16 are x = 0 and x = -8.