Are the following statements ‘true’ or ‘False’? Justify your answer. The only value of k for which the quadratic polynomial kx 2 + x + k has equal zeroes is 1/2

Question

Philoid · Accepted Answer

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.

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

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