Question

Si m2 + n2 = 41 ; mn = 4 hallar m + n

Answer 1

Respuesta:

7

Explicación paso a paso:

$(m + n)^{2} = {m}^{2} + 2mn + {n}^{2} \\ (m + n) ^{2} = {m}^{2} + {n}^{2} + 2mn \\ (m + n)^{2} = 41 + 2(4) \\ (m + n)^{2} = 41 + 8 \\ (m + n)^{2} = 49 \\ m + n = \sqrt{49} \\ m + n = 7$