Question

if one zero of quadratic polynomial 2 x square - 3 k + 1 x minus 9 is negative of other the find value of k​

Answer 1

Answer:

−

3

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