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For Solve the equation: 2√(x + 2) = 3√2 If x > 0, what is the value of x?
  1. 2.5
  2. 3
  3. 3.5
  4. 4.
Explanation

2√(x + 2) = 3√2


Step-by-step solution:


Step 1: Divide both sides by 2


√(x + 2) = (3√2)/2


Step 2: Square both sides


x + 2 = [(3√2)/2]²  

= (9 × 2) / 4  

= 18 / 4  

= 4.5


Step 3: Subtract 2 from both sides

x = 4.5 − 2  

x = 2.5


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