Tick ( ) the correct answer: If (a + b) = 12 and ab = 14, then (a… - Vidyadip

MCQ

Tick $(\checkmark)$ the correct answer: If $(a + b) = 12$ and $ab = 14,$ then $(a^2 + b^2) = \ ?$

A
$172$
✓
$116$
C
$165$
D
$126$

✓

Answer

Correct option: B.

$116$

B. $116$
Solution:
$a+b=12 $
$ a b=14 $
$ a^2+b^2=(a+b)^2-2 a b $
$ =(12)^2-2 \times 14 $
$ =144-28 $
$ =116$

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