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Question

If a + b = 7 and ab = 12, find the value of a2+b2.


Solution

a + b = 7, ab = 12

Squaring both sides,

(a+b)2=(7)2 a2+b2+2ab=49 a2+b2+2×12=49 a2+b2+24=49 a2+b2=4924=25 a2+b2=25

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