If (a + bi)(a - bi) = 17 and a + b = 5, then a² + b² equals?
- 16
- 17
- 18
- None of these
Explanation
(a + bi)(a - bi) = a² - (bi)² = a² - b²i² = a² - b²(-1) = a² + b²
Given (a + bi)(a - bi) = 17
So a² + b² = 17
Last verified on 08-05-2026
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