Question

Find the zeroes of the quadratic polynomial 2x2–9 = 0, and verify the relation between the zeroes and its coefficients

Answer 1

Let p(x)=2x  

2

−(3k+1)x−9

Let α,β be the roots of this polynomial.

We know that  

α+β=  

2

3k+1

​  

= Sum of the roots  

 

αβ=  

2

−9

​  

= Products of the roots

Given that :  One zero is negative of the other  

⇒α=−β

⇒α+β=0

⇒α+β=  

2

3k+1

​  

=0

⇒3k+1=0

⇒k=−  

3

1

​

Answer 2

Answer:

Find the zeroes of the quadratic polynomial 2x2–9 = 0, and verify the relation between the zeroes and its coefficients