Question

If a + b equal 10 and ab = 16 then find a square + b square

Answer 1

${(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ {10}^{2} = {a}^{2} + {b}^{2} + 2 \times 16 \\ {a}^{2} + {b}^{2} = 100 - 32 = 64$
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