Question

if the zeroes of x2+x+k are reciprocals of each other,find the value of k​

Answer 1

Answer:

1

Step-by-step explanation:

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Answer 2

AnswEr:-

❀ Your Answer Is 1.

ExplanaTion:-

Given:-

• A polynomial $\tt x^2+x+k.$

• One zeroe of the polynomial is reciprocal of another.

To Find:-

• The Value of k.

Concept Used:-

$\\ \hookrightarrow \boxed{ \boxed { \small\bf Product \: \: of \: \: zeroes = \dfrac{constant \: \: term}{coefficient \: \: of \: \: x {}^{2} } .}}$

So Now,

Let the one zero be $\bf\alpha$, So the another zero will be $\bf\dfrac{1}{\alpha}$

Therefore The Product Of Zeroes:-

$\\ \tt\mapsto \cancel\alpha \times \dfrac{1}{ \cancel \alpha } = \dfrac{k}{1}. \\ \\ \tt\mapsto 1 = k. \\ \\ \hookrightarrow \boxed{ \bf k = 1.}$

❝ $\bf\therefore$ The Required Value Of k is 1.❞