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Find the quadratic polynomial whosezeroes are 3+√5 and 3-√5 |
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Answer» Answer: Answer Let α=3+ 5
and β=3 5
Sum of zeros =α+β=3+ 5
+3− 5
=6 Product of zeros =αβ=(3+ 5
)(3− 5
)=9−5=4 Also, Sum of roots = a −b
=− 1 6
Product of roots = a c
= 1 4
⟹a=1,b=−6 and c=4 HENCE, the quadratic polynomial is x 2 −6x+4 Step-by-step explanation: |
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