Question

Can the quadratic polynomial have equal zeroes of x2+kx+k

Answer 1

if and only if k = 4
then possible

Answer 2

x^2 +kx+k=0

Now,

a=1 , b=k , c=k

D= b^2 -4ac=0

Substituting the values of a,b,c

k^2-4(1)(k)

k^2-4K=0

k(k-4)=0

k-4=0

k=4

Therefore, the above quadratic equation can have equal zeroes

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