Question

If a×b =7 and a+b=6, find the value of a²+b²

Answer 1

Step-by-step explanation:

as we know that,

$( {a + b})^{2} = {a}^{2} + 2ab + {b}^{2} \\ thereore \\ {a}^{2} + {b}^{2} = ( {a + b)}^{2} - 2ab \\ = {6}^{2} - 2 \times 7 \\ 36 - 14 \\ 22 \\ hope \: itis \: helpful$

Answer 2

Step-by-step explanation:

$ab = 7 \\ a + b = 6 \\ \\ to \: find \: a {}^{2} + b {}^{2} \\ \\ a {}^{2} + b {}^{2} + 2ab - 2ab \\ (a + b) {}^{2} - 2ab \\ (6) {}^{2} - 2(7) \\ 36 - 14 \\ 22$

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