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√(x) x+4-3=1

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Explanation:

To solve the equation √(x^2 + 4) - 3 = 1, we can follow these steps:

Step 1: Isolate the square root term.

Add 3 to both sides of the equation to move the constant term to the other side:

√(x^2 + 4) = 4

Step 2: Square both sides of the equation.

To eliminate the square root, we square both sides of the equation:

(√(x^2 + 4))^2 = 4^2

x^2 + 4 = 16

Step 3: Solve for x.

Subtract 4 from both sides of the equation:

x^2 = 16 - 4

x^2 = 12

Step 4: Take the square root of both sides.

To solve for x, we take the square root of both sides of the equation:

√x^2 = √12

x = ±√12

Therefore, the solutions to the equation √(x^2 + 4) - 3 = 1 are x = √12 and x = -√12.

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