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If (a + b) = 12 and ab = 14, then (a^2 + b^2) = ?  A.172  B. 116  C. 162  D. 126

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If (a + b) = 12 and ab = 14, then (a2 + b2) = ? 

A.172 

B. 116 

C. 162 

D. 126

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1 Answer

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Best answer

From the formula, 

(a + b)2 = a2 + b2 + 2ab 

We get, 

= a + b = 12 and ab = 14 

By putting values, we get, 

122 = a2 + b2 + 2× 14 

= a2 + b2 = 144 – 28 = 116.

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