Math, asked by aaryangupta1105, 4 months ago


2. Find the sum of the zeroes of the polynomial 5x2 - 30x + 1.
OR​

Answers

Answered by aslamm1
0

Answer:

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

2

=(α+β)

2

−2αβ.

25

−11

=

25

9

5

2k

5

2k

=

25

20

⇒ k=2

Step-by-step explanation:

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