a=2+√5 b=1÷a find a²+b²
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→ 1/2+√5
→ 1(2-√5)/(2+√5)(2-√5)
→ 2-√5/(2)² - (√5)²
→ 2-√5/4-5
→ 2-√5/-1
→ -2+√5/1
now,
a²+b²
→ (2+√5)² + (-2+√5/1)²
→ (4+5+4√5) + (4+5/1 +-4√5/1)
→ (8+5)
→ 13
EmoLord.
→ 1(2-√5)/(2+√5)(2-√5)
→ 2-√5/(2)² - (√5)²
→ 2-√5/4-5
→ 2-√5/-1
→ -2+√5/1
now,
a²+b²
→ (2+√5)² + (-2+√5/1)²
→ (4+5+4√5) + (4+5/1 +-4√5/1)
→ (8+5)
→ 13
EmoLord.
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