Math, asked by tajminayesmina, 10 months ago

please solve this problem as early as possible. ​

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Answers

Answered by manoj0415
1

Answer:

1 by alpha is -2 & 1 by beta is -2/3

Step-by-step explanation:

by seeing the figure you can understand the solution

  • by factorization I got the zeroes and I considered the zeroes as
  •  \alpha  \beta
  • and by reciprocalling I got the solution
  • plz mark as brainliest
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Answered by ThinkingBoy
2

α and β are zeroes of the polynomial  6y²-7y+2

Sum of roots = α+β = -b/a = 7/6

Product of roots = αβ = c/a = 2/6

Roots of required polynomial is 1/α and 1/β

We have sum of roots

\frac{1}{\alpha } +\frac{1}{\beta } = \frac{\alpha+\beta  }{\alpha\beta  } = \frac{7/6}{2/6} = 7/2

Product of roots

\frac{1}{\alpha \beta } = \frac{1}{2/6} = 6/2

So the new polynomial is

2y² - 7y + 6

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