Question

Determina m ^ 2 + n ^ 2

Si: m + n = 5 mn = 10

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Answer 1

Respuesta:

$(m + n)^{2} = {m}^{2} + 2 \times m \times n + {n}^{2} \\ {5}^{2} = {m}^{2} + 2\times 10 + {n}^{2} \\ 25 = {m}^{2} + 20 + {n}^{2} \\ 25 - 10 = {m}^{2} + {n}^{2} \\ 15 = {m}^{2} + {n}^{2}$