Which statement is correct for F={x∈Z: x²=49}?
Answer and explanation
Correct answer: F={-7,7}
The equation x²=49 asks for every integer whose square equals 49. Since 7²=49 and (−7)²=49, both x=7 and x=−7 satisfy the condition. Therefore F={−7,7}, so option B is correct. The number 49 is the square value, not a solution of the equation, and option A is incomplete because it omits the negative integer root. The set is not empty.
Frequently asked questions
What is the correct answer to this question?
F={-7,7}
Why is this the correct answer?
The equation x²=49 asks for every integer whose square equals 49. Since 7²=49 and (−7)²=49, both x=7 and x=−7 satisfy the condition. Therefore F={−7,7}, so option B is correct. The number 49 is the square value, not a solution of the equation, and option A is incomplete because it omits the negative integer root. The set is not empty.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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