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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