Question

Si: a + b = 2, ab = -4 y E = a² + b² + a³+ b³ , entonces el valor de E es

Answer 1

Respuesta:

48

Explicación paso a paso:

$(a + b) ^{2} = {2}^{2} \\ {a}^{2} + {b}^{2} + 2( - 4) = 4 \\ {a}^{2} + {b}^{2} - 8 = 4 \\ {a}^{2} + {b}^{2} = 12$

$(a + b) ^{3} = {2}^{3} \\ {a}^{3} + {b}^{3} + 3( - 4)(2) = 8 \\ {a}^{3} + {b}^{3} - 24 = 8 \\ {a}^{3} + {b}^{3} = 32$

$12 + 32 \\ 48$