Which of these statements is correct?
Tick one box - AQA - A-Level Maths Pure - Question 1 - 2018 - Paper 2
Question 1
Which of these statements is correct?
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$x = 2
ightarrow x^2 = 4$
$x^2 = 4
ightarrow x = 2$
$x^2 = 4
ightarrow x = 2$
$x^2 = 4
ightarrow x = -2$
Worked Solution & Example Answer:Which of these statements is correct?
Tick one box - AQA - A-Level Maths Pure - Question 1 - 2018 - Paper 2
Step 1
$x = 2 \rightarrow x^2 = 4$
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Answer
This statement is correct because substituting 2 into the equation yields:
x2=22=4
Thus, when x is 2, the statement holds true.
Step 2
$x^2 = 4 \rightarrow x = 2$
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Answer
This statement is partially correct. The equation x2=4 can yield two solutions: x=2 or x=−2, making it an incomplete representation.
Step 3
$x^2 = 4 \rightarrow x = 2$
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Answer
Similar to the previous statement, this is partially correct for the same reason mentioned above.
Step 4
$x^2 = 4 \rightarrow x = -2$
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Answer
This statement is also partially correct since it does not include the positive solution x=2.
