find the value of k.......
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It's -1/25
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Answer:
k = 5,45
Step-by-step explanation:
α + β = -3/k
αβ = 2/k
Given that α² + β² + αβ = -1
α²+β² = (α+β)² - 2αβ
So, α² + β² + αβ = -1 /25
⇒ (α+β)² - 2αβ + αβ = -1
⇒(α+β)² - αβ = -1/25
⇒ 9/k² - 2/k = -1/25
⇒ k = 5,45
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