8k6 + 15k3 – 2 = 0,  అయితే,  ధనాత్మక విలువ ఎంత :

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SSC CGL 2021 Tier-I (Held On : 12 April 2022 Shift 3)
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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Detailed Solution

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ఇచ్చినవి:

8k6 + 15k3 – 2 = 0

గణన​:

 k3 = x

కాబట్టి, 8x2 + 15x - 2 = 0

⇒ 8x2 + 16x - x - 2 = 0

⇒ 8x (x + 2) - 1 (x + 2) = 0

⇒ (8x - 1) (x + 2) = 0

⇒ 8x - 1 = 0 ⇒ x = 1/8

⇒ x + 2 = 0 ⇒ x = - 2 [ప్రతికూల విలువ కారణంగా సాధ్యం కాదు]

ఇప్పుడుk3 = 1/8

⇒ k = 1/2 ⇒ 1/k = 2

అప్పుడు, (k + 1/k) = (1/2 + 2) = 5/2 = 

∴(k + 1/k) విలువ 

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