Question

find the value of k if zeroes of the given polynomial are negative of each other.
x^2-kx-9​

Answer 1

Hey there!!

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Let alpha,beta be the roots/zeros of the polynomial x²-kx-9=0

Given, alpha=-beta

then we can say that alpha+beta=0

--> -b/a=0----------(1)

[sum of roots of a quadratic polynomial is

{-(coefficient of x)/(coefficient of x²)}]

here,b=-k and a=1

substituting the values in (1)

-b/a=-(-k)/1

0 =k/1

k=0

•°• k=0

hope this helps!

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