Question

If one of the zeros of quadratic polynomial
(k-1)x² + kx +1 is – 3,
then find the value of k.
13
4
3
3​

Answer 1

Answer:

k=

3

4

Explanation:

Given −3 is the zero of the polynomial (k−1)x

2

+kx+1

So −3 must satisfy the equation (k−1)x

2

+kx+1=0

⟹ (k−1)(−3)

2

+k(−3)+1=0

⟹ 9(k−1)−3k+1=0

⟹ 9k−9−3k+1=0

⟹ 6k=8

⟹ k=

3

4