Question

if one of the zeros of quadratic polynomial f(x)=4x^2-8x-9 is equal in magnitude but opposite in sign of the others, find the value of k.​

Answer 1

Answer:

Given :- A quadratic polynomial whose zeroes are equal in magnitude but opposite in sign.

To find :- Value of k

Solution:-

f(x)= 4x^2-8k-9

let the zeroes be m and n

sum of zeroes= -b/a

m+n= -(-8k)/4

0= 8k/4

8k= 0

k= 0

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Answer 2

Answer:

Let one root of the given polynomial be a  

Then the other root = -a

therefore, Sum of the roots = (−a) +a=0

⇒a−b=0 or 48k or k=0

Step-by-step explanation: