Question

If alfa and bitta are zeroes of the polynomial x^2+2x+1 then 1/alfa + 1/ bitta
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Answer 1

Answer:

$\displaystyle\huge\red{\underline{\underline{ANSWER}}}$

we will use a for alpha and b for beta

then from the properties of zeros of a quadratic

a+b = -1

ab = 1

then 1/a + 1/b

= (b+a)/(ab) = -1/1 = -1

a² + b²

= (a+b)² - 2ab

= (-1)²- 2(1)

= 1 - 2 = -1

Answer 2

Answer:

ANSWER

we will use a for alpha and b for beta

then from the properties of zeros of a quadratic

a+b = -1

ab = 1

then 1/a + 1/b

= (b+a)/(ab) = -1/1 = -1

a² + b²

= (a+b)² - 2ab

= (-1)²- 2(1)

= 1 - 2 = -1