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KDPatak
@KDPatak
April 2021
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If alpha and Beta are Zeroes of the polynomial X2-6x+a, Find the value of 'a' . If 3 alpha +2 Beta equal to 20
Answers & Comments
sijasubbiah
Hey
Here is your answer,
Polynomial P(x) = x² - 6 x + a
Given α and β are the roots.
To find a , if 3 α + 2 β = 20. ---(1)
From the quadratic expression:
α + β = 6 ---(2)
and α β = a --- (3)
Multiply equation (2) by 2 and subtract from (1) to get:
α = 20 -12 = 8
Substitute this value in(2) to get:
β = 6-8 = -2
Substitute these in (3) to get:
a = α β = -16.
Hope it helps you!
1 votes
Thanks 3
KDPatak
I didn't mark you as brainliest becacuse if are at the pinnacle being Genius . Your answer was good . Keep helping
BrainlyBlaster
Hey friends!!
--------------------------------------------------------
Here is your answer↑
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Your answer is in the picture↑
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☺☺☺ hope it is helpful for you ✌✌✌.
3 votes
Thanks 7
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Answers & Comments
Here is your answer,
Polynomial P(x) = x² - 6 x + a
Given α and β are the roots.
To find a , if 3 α + 2 β = 20. ---(1)
From the quadratic expression:
α + β = 6 ---(2)
and α β = a --- (3)
Multiply equation (2) by 2 and subtract from (1) to get:
α = 20 -12 = 8
Substitute this value in(2) to get:
β = 6-8 = -2
Substitute these in (3) to get:
a = α β = -16.
Hope it helps you!
--------------------------------------------------------
Here is your answer↑
--------------------------------------------------------
Your answer is in the picture↑
--------------------------------------------------------
☺☺☺ hope it is helpful for you ✌✌✌.