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Nimisha02
@Nimisha02
June 2022
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if α and β are the roots of the polynomial ax^2+bx+c the find the value of α^2+β^2
Answers & Comments
Aasthakatheriya1
Hello..
alpha = -b/c.
beta = c/a
then,
alpha )^2 + beta ^2
-b/a )^2 + c/a )^2.
-b^2+ c^2/ a^2 .
I hope it help you
0 votes
Thanks 1
Nimisha02
R u sure dis is crct
Aasthakatheriya1
i hope
Nimisha02
ok
Nimisha02
but in d last step where did square go..
BrainlyHulk
Hi Friend ✋✋✋
α + β = - b / a
αβ = c / a
( α + β )² = α² + β² + 2αβ
- b² / a²- 2c / a = α² + β²
Hope it helps
4 votes
Thanks 5
BrainlyHulk
Thanks Nimisha for marking my answer as brainliest :-)
Nimisha02
Ur welcome..
BrainlyHulk
:-)
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Answers & Comments
alpha = -b/c.
beta = c/a
then,
alpha )^2 + beta ^2
-b/a )^2 + c/a )^2.
-b^2+ c^2/ a^2 .
I hope it help you
α + β = - b / a
αβ = c / a
( α + β )² = α² + β² + 2αβ
- b² / a²- 2c / a = α² + β²
Hope it helps