%5E2%3D4.jpeg "(x-9)^2=4")
Solving the Equation (x-9)^2 = 4
This equation involves a squared term, so we'll use the square root property to solve for x. Here's how:
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 of the equation gives us:
√((x-9)²) = ±√4
This simplifies to:
x - 9 = ±2
3. Solve for x
Now we have two separate equations to solve:
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x - 9 = 2 Adding 9 to both sides gives us x = 11
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x - 9 = -2 Adding 9 to both sides gives us x = 7
Solution
Therefore, the solutions to the equation (x-9)² = 4 are x = 11 and x = 7.