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If a + b = 7 and ab = 12, Then find the value of (a2 + b2)
1. 49
2. 37
3. 25
4. 28

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Correct Answer - Option 3 : 25

Given:

a + b = 7 and ab = 12

Formula Used:

(a + b)2 = a2 + b2 + 2ab

Calculation:

As, a + b = 7

Squaring both sides we get,

a2 + b2 + 2ab = 49 

and ab = 12

a2 + b2 + 2 × 12 = 49

⇒ a2 + b2 = 49 - 24 = 25

∴ The value of a2 + b2 is 25.

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