Math, asked by ManakaLaala, 1 year ago

Find a quadratic polynomial whose zeroes are 3+√5/5 and 3-√5/5.

CORRECT ONE WILL BE MARKED AS BRAINLIEST!!!

Answers

Answered by ArchitectSethRollins
1
▁ ▂ ▄ ▅ ▆ ▇ █ нι fяιєи∂ █ ▇ ▆ ▅ ▄ ▂ ▁

°°°·.°·..·°¯°·._.· γουя αиѕωєя  ·._.·°¯°·.·° .·°°°

ℓєτ α αи∂ β ϐє τнє zєяοєѕ οf τнє գυα∂яατιϲ ροℓγиοмιαℓ.

τнєи,
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α = (3 + √5)/5 αи∂ β = (3 - √5)/5 

иοω,
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fοямυℓα = ϰ² - (α + β) + αβ

= ϰ² - {(3 + √5)/5 + (3 - √5)/5} + (3 + √5)/5 × (3 - √5)/5

= ϰ² - (3 + √5 + 3 - √5)/5 + {(3)² - (√5)²}/25

= ϰ² - 6/5 + (9 - 5)/25

= ϰ² - 6/5 + 4/25

нορє ιτ нєℓρѕ 
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