Advanced MathEasyThe negative square root
Advanced Math practice question
If x² = 100 and x < 0, what is the value of x?
Answer: -10 or −10
x² = 100 has two solutions, 10 and −10. The condition x < 0 picks the negative one: x = −10.
Common wrong answers
- If you answered 10
- 10 squares to 100, but the question says x is negative.
- If you answered -50
- −50 halves 100 instead of taking its square root; (−50)² = 2,500.
- If you answered -100
- (−100)² = 10,000, not 100. The square root of 100 is 10.
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