Question

Si: a+b = 3 ab = 1 Hallar: a4 + b 4

Answer 1

Respuesta:

Explicación paso a paso:

a+b = 3  ab = 1

hallar a⁴ + b ⁴ 

Fórmaula

(a+b)² = a² + ab + b ²

= ( (a²) + (b)² )² = (a²)² + (a²)(b²) + (b²)²

= (a+b ) ⁴ = a⁴ + (ab)² + (b) ⁴

= (3)⁴ = a⁴ + (1)² + b ⁴

= 81 = a ⁴ + 1 + b⁴

=81 - 1 = a⁴ + b ⁴

80 = a⁴ + b ⁴  

corona plis