if alpha +beta are the zeros of the polynomial kx2 +4x+4 and alphasquare + beta square = - Maths - Polynomials

Question

if alpha +beta are the zeros of the polynomial kx2 +4x+4 and
alphasquare + beta square = 24 find k

Lalit Mehra · Accepted Answer

Hi! Here is the answer to your question Given, α and β are the zeroes of the given polynomial kx2 + 4x + 4

⇒ 24k2 + 8k – 16 = 0 ⇒ 3k2 + k – 2 = 0 ⇒ 3k2 + 3k – 2k – 2 = 0 ⇒ 3k (k + 1) –2 (k + 1) = 0 ⇒ (3k – 2) (k + 1) = 0 ⇒ 3k – 2 = 0 or k + 1 = 0

Cheers!

if alpha +beta are the zeros of the polynomial kx2 +4x+4. and alphasquare + beta square = 24 .... find k