Question

if m and n are the zeros of the polynomial
${x}^{2} + 2x + 1 \: then \: the \: value \: of \: {(m - n)}^{(m - n)} square \: is$
​

Answer 1

Answer:

f(x)=x

2

+x+1

a=1

b=1

c=1

∵α and β are the zeroes of above polynomial.

∴ Sum of roots =

a

−b

⇒α+β=

1

−1

⇒α+β=−1⟶(1)

Product of roots =

a

c

⇒αβ=

1

1

⇒αβ=1⟶(2)

∴

α

1

+

β

1

=

αβ

β+α

From eq

n

(1)&(2), we have

⇒

α

1

+

β

1

=

1

−1

=−1

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Answer 2

Anything with power 0 is equal to 1.....