Question

sum of the zeroes of the polynomial x^2-2x+5 is please answer and don't spam please​

Answer 1

༶•┈⛧┈♛Answer♛┈⛧༶

p(x) = x² -2x + 5

α and β are zeros of p(x)

α + β = -b/a = 2

αβ = 5

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Zeros of other polynomial :-

α + β = 2

1/α + 1/β = α + β /αβ

= 2/5

here ,

2 and 2/5 are zeros of a polynomial

sum of zeros = 2 + 2/5 = 10/5 + 2/5 = 12/5

product of zeros = 2×2 /5 = 4/5

a quadratic polynomial is given by:-

k [ x² - (sum of zeros )x + (product of zeros) ]

k [ x² -12/5x + 4/5 ]

5[x² - 12/5x + 4/5]

5x² -12x + 4 -----> required polynomial