1.

If the sum of the zeros of the polynomial x2 - (k + 3)x + (5k - 3) is equal to one fourth of the product of its zeros find the value of k.

Answer»

Given polynomial is x2 - (k + 3)x + (5k - 3)

Given that sum of zeros = \(\frac14\) x product of zeros

i.e., \(\frac{-(-(k +3))}{1} = \frac14 \times \frac{5k -3 }{1}\) 

⇒ 4k + 12 = 5k - 3

⇒ k = 12 + 3 = 15



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