Advanced MathHardSolving a radical equation
Advanced Math practice question
What value of x satisfies √(2x + 3) = 5?
Answer: 11
Square both sides: 2x + 3 = 25. Then 2x = 22 and x = 11. Check: √(22 + 3) = √25 = 5.
Common wrong answers
- If you answered 1
- 1 comes from (5 − 3)/2, forgetting to square the 5 first. The equation says the square root is 5, so the inside is 25.
- If you answered 4
- 4 would make the inside 11, and √11 is not 5.
- If you answered 14
- 14 is (25 + 3)/2, adding 3 instead of subtracting it. From 2x + 3 = 25, the 3 comes off: 2x = 22.
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