find the zeros of the following quadratic polynomial and verify the relationship between the zeros and the coefficient p(s) =4s²+9s+5
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Answer:
Answer
→45
2
−45+1=0
∴45
2
−25−25+1=0
∴25(25−1)−1(25−1)=0
∴(25−1)(25−1)=0
∴S=+1/2
∴ Sum of roots =
2
1
+
2
1
=1...(1)
∴ Sum of roots verified =
a
−b
=
4
−(−4)
=1...(2)
Also, Product of roots =
a
c
=
4
1
Also, (
2
1
)(
2
1
)=
4
1
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