Are the following statements ‘true’ or ‘False’? Justify your answer.
The only value of k for which the quadratic polynomial kx2 + x + k has equal zeroes is 1/2
The only value of k for which the quadratic polynomial kx2 + x + k has equal zeroes is 1/2: False.
A quadratic polynomial kx2 + x + k have equal roots when its discriminate is equal to
i.e. D = 0
b2 - 4ac = 0
b2 = 4ac
12 = 4(k) (k)
1 = 4k2
k2 = 1/4
k = 
1/2
Hence, k = 1/2 is not the only value for which the polynomial has equal roots.
2