Question

Si se cumple 4/a =a/b=b/32 hallar a + b

Answer 1

Parte 1:
4/a = a/b
4b = a²
2√b = a

Parte 2:
a/b = b/32
32a = b²

Reemplazando parte 1 en 2:
32×2√b = b²
64√b = b²
√b = b²/64
b = b^4/4096
4096 = b³
b = 16

Entonces:
4(16) = a²
64 = a²
a = 8

RESPUESTA: a + b = 16 + 8 = 24