Question : If $a+b=12, ab=22$, then $(a^2+b^2)$ is equal to:
Option 1: 188
Option 2: 144
Option 3: 34
Option 4: 100
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Correct Answer: 100
Solution :
Given:
$a+b=12, ab=22$
We know, $(a+b)^2=a^2+b^2+2ab$
Putting the values, we get:
$⇒12^2=a^2+b^2+2×22$
$\therefore a^2+b^2=100$
Hence, the correct answer is 100.
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