Advanced MathMediumIsolating a square root before squaring
Advanced Math practice question
What value of x satisfies 2√x − 3 = 7?
Answer: 25
Add 3: 2√x = 10. Divide by 2: √x = 5. Square: x = 25. Check: 2(5) − 3 = 7.
Common wrong answers
- If you answered 4
- 4 is (7 − 3)/2 = 2 squared — the 3 was subtracted instead of added. From 2√x − 3 = 7, add 3.
- If you answered 5
- 5 is √x, one step short. Square it to get x = 25.
- If you answered 100
- 100 comes from squaring 10 before dividing by 2 (that is, x = (2√x)² wrongly). Divide first: √x = 5.
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