Question

The only value of for which the quadratic polynomial kr +x+k has equal zeroes is 1/2
​

Answer 1

Answer:

The value of k is either \frac{1}{2} or -\frac{1}{2}.

Step-by-step explanation:

The given polynomial is

p(x)=kx^2+x+k

A polynomial f(x)=ax^2+bx+c has equal roots if

b^2-4ac=0

1^2-4(k)(k)=0

1-4k^2=0

1=4k^2

\frac{1}{4}=k^2

\pm\sqrt{\frac{1}{4}}=k

\pm\frac{1}{2}=k

Therefore the value of k is either \frac{1}{2} or -\frac{1}{2}.  

hope it will help you   :)  

pls mark me brainliest

Answer 2

K/4+1/2+k=0
K+2+4K =0
5k=-2
K=-2/5