Find the quadratic polynomial whose zero are 3+-√3/5
Answers
Answered by
1
Answer:
Answer
Let α=3+
5and β=3
5Sum 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
Similar questions