(46)2 – (?)2 = 4398-3066. What is the answer?
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Answer:
Let (46)2 - x2 = 4398 - 3066
Then, (46)2 - x2 = 1332
⇒ x2 = (46)2 - 1332
∴ x2 = (50 - 4)2 - 1332
x2 = (50)2 + 42 - 2 × 50 × 4 - 1332
x2 = 2500 + 16 - 400 - 1332
x2 = 2516 - 1732
x2 = 784
x = 28
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