if a + b = 5 and ab = 16, find a^2+ b^2
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Given : a + b = 5............(1)
and ab = 16 .....................(2)
It is known that,
(a + b)² = a² + 2ab + b²
Now, substituting the values of (1) and (2) in the above, we get.
⇒ (5)² = a² + 2*(16) + b²
⇒ 25= a² + 32 + b²
⇒ a² + b² = 25 - 32
⇒ a² + b² = -7
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