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zhenek [66]
3 years ago
8

Una compañía de danza de 156 bailarines hace una coreografía formando filas y columnas.Si en una fila hay 20 bailarines más que

en una columna ¿cuántas filas y cuantas columnas son?
Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0

Responder:

Por favor, consulte la explicación.

Explicación paso a paso:

Dado lo siguiente:

Número de bailarines = 156

Sea número de bailarines en una columna = c

Número de bailarines seguidos = c + 20

Multiplicar el número de bailarines en fila y columna dará el número total de bailarines.

Por lo tanto,

c * (c + 20) = 156

c² + 20c = 156

c² + 20c - 156 = 0

c² + 26c - 6c - 156 = 0

c (c + 26) - 6 (c + 26) = 0

(c + 26) = 0 o (c - 6) = 0

c = - 26 o c = 6

C no puede ser negativo

Por lo tanto,

Número de bailarines en columna = 6

Número de bailarines en fila = 20 + 6 = 26

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