Question

If alpha and beta are the zeros of the polynomial 2x²+10X+12 then -(Alpha+Beta)²=_________

Answer 1

Step-by-step explanation:

The given polynomial is

f (x) = 2x² + 5x + k

Since, α and β are the zeroes of f (x),

α + β = - 5/2 ...(i)

αβ = k/2 ...(ii)

Given that,

α² + β² + αβ = 21/4

⇒ (α + β)² - 2αβ + αβ = 21/4

⇒ (α + β)² - αβ = 21/4

⇒ (- 5/2)² - k/2 = 21/4, by (i) and (ii)

⇒ 25/4 - k/2 = 21/4

⇒ k/2 = 25/4 - 21/4

⇒ k/2 = (25 - 21)/4

⇒ k/2 = 4/4

⇒ k/2 = 1

⇒ k = 2

∴ The value of k is 2

Answer 2

Answer:

2x^2-10x+12 relationship between alpha and beta

Step-by-step explanation:

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