Question

If the sum of square of zeroes of the quadratic polynomial
3x + 5+k is - 2 /3 then k is​

Answer 1

The sum of zeroes of the polynomial ax

2

+bx+c=0 is

a

−b

.

Here the given equation is 5x

2

+3x+k=0.

Therefore, the sum of the zeroes is

5

−3

.

Let the zeroes be α and β.

⇒ α+β=

5

−3

and αβ=

5

k

.

⇒ α

2

+β

2

=(α+β)

2

−2αβ.

⇒

25

−11

=

25

9

−

5

2k

⇒

5

2k

=

25

20

⇒ k=2

Therefore,Option C is correct..

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