Advanced MathEasy–MediumSquare root method, negative solution
Advanced Math practice question
If (x + 2)² = 49, what is the negative solution for x?
Answer: -9 or −9
Take square roots: x + 2 = 7 or x + 2 = −7. So x = 5 or x = −9. The negative solution is −9.
Common wrong answers
- If you answered 5
- 5 is the positive solution; the question asks for the negative one.
- If you answered -5
- −5 comes from x + 2 = −7 solved as x = −5 (dropping the 2 wrongly); −7 − 2 = −9.
- If you answered -51
- −51 is 49 − 2 with a sign slip, from dropping the square. Take the square root first.
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