Question

The linear factors of quadratic equation x^2 + Kx 1=0 are
A. k >= 2
B. k less than or equal to 2
C. k greater than or equal to -2
D. 2 less than or equal to k less than or equal to-2

Answer 1

Answer:

option B is the right ans

Answer 2

answer option (D) k ≥ 2 or k ≤ - 2

given, quadratic equation, x² + kx + 1 = 0

a quadratic equation can be factorize in two linear equation only when the roots of quadratic equation are real.

i.e., D = b² - 4ac ≥ 0

⇒ k² - 4 × 1 × 1 ≥ 0

⇒k² - 4 ≥ 0

⇒(k - 2)(k + 2) ≥ 0

⇒k ≥ 2 or k ≤ -2

hence option D is correct choice.

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