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