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The following proof aims to establish that −4 = 0 - HSC - SSCE Mathematics Extension 2 - Question 2 - 2022 - Paper 1
Question 2
The following proof aims to establish that −4 = 0. Let a = −4 ⇒ a² = 16 and 4a + 4 = −12 (Line 1) ⇒ a² + 4a + 4 = 4 (Line 2) ⇒ (a + 2)² = 2² (Line 3) ⇒ a + 2 ... show full transcript
Worked Solution & Example Answer:The following proof aims to establish that −4 = 0 - HSC - SSCE Mathematics Extension 2 - Question 2 - 2022 - Paper 1
Step 1
At which line is the implication incorrect?
Answer
The implication is incorrect at Line 4. In the previous steps, we derived that . Solving this gives us a = 0, which contradicts our initial assumption that a = -4. Therefore, Line 4 is where the conclusion that a = 0 is incorrect, as it does not adhere to the original assumption.