If a + b = 5 and ab = 6, then find 3(a2 + b2).

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 2)
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  1. 39
  2. 48
  3. 26
  4. 13

Answer (Detailed Solution Below)

Option 1 : 39
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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Given:

a + b = 5 and ab = 6

Concept used:

a2 + b2 = (a + b)2 - 2ab

Calculation:

3(a2 + b2)

⇒ 3{(a + b)2 - 2ab}

⇒ 3{52 - 2 × 6}

⇒ 39

∴ The required value is 39.

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