Question

find the zeros of the following quadratic polynomial and verify the relationship between the zeros and the coefficients........ 3x2-11x+10​

Answer 1

HeRe Is Your Ans

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3X² -11X + 10 = 0

3X² - 6X - 5X + 10

3X (X - 2) - 5(X - 2) = 0

➡Hence , X = 5 / 3 Or X = 2

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Verification :-

➡α + β = - B / A

5 / 3 + 2 = -(-11) / 3

5 + 6 / 3 = 11 / 3

11 / 3 = 11 / 3

➡α × β = C / A

5 / 3 × 2 = 10 / 3

10 / 3 = 10 / 3

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Hence Verified

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Answer 2

Answer:

HeRe Is Your Ans

*****

3X² -11X + 10 = 0

3X² - 6X - 5X + 10

3X (X - 2) - 5(X - 2) = 0

➡Hence , X = 5 / 3 Or X = 2

********

Verification :-

➡α + β = - B / A

5 / 3 + 2 = -(-11) / 3

5 + 6 / 3 = 11 / 3

11 / 3 = 11 / 3

➡α × β = C / A

5 / 3 × 2 = 10 / 3

10 / 3 = 10 / 3

****

Hence Verified

****

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