Question

if zeroes of polynomial ax^2 +bx+c are reciprocal of each other than a= c true or false​

Answer 1

Answer:

false

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Answer 2

Given quadratic polynomial is P(x)=ax

2

+bx+c

Given the roots are reciprocal to each other

Let the roots be α,

α

1

⟹ Product of roots is α×

α

1

=

a

c

⟹

a

c

=1⟹c=a