Question

Find the zeroes of the polynomial x2 - 5 and verify the relation between the zeroes and the coefficients.​
​

Answer 1

Answer:

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Answer 2

Answer:

Given polynomial is x  

2

−5

Let the zeros be α,β. (α>β)

x  

2

−5=0⇒x  

2

=5⇒x=±  

5

​  

 

α=  

5

​  

,β=−  

5

​  

 

So, α+β=0,αβ=−5

The coefficient of x is zero ⇒α+β=0

(& of x  

2

 is 1).

Constant = αβ=−5

Hence verified.