chavezdanica
chavezdanica chavezdanica
  • 09-01-2020
  • Mathematics
contestada

The product of 3 rational numbers is 21. If one of those numbers is -3, find two possible factors that make the statement true.

Respuesta :

sam4040
sam4040 sam4040
  • 15-01-2020

Answer:

[tex]-1,7 \ and \ 1,-7[/tex]

Step-by-step explanation:

let [tex]x[/tex] and [tex]y[/tex] be two other factors.

[tex]Given \ that -3\times x\times y=21\\\Rightarrow xy=\frac{-21}{3} \\xy=-7[/tex]

[tex]7[/tex] is a prime number. Its factors can be [tex]1[/tex] and [tex]7[/tex] only.

But product is negative so one of the number must be negative.

Two cases possible [tex]-1,7[/tex] and [tex]1,-7[/tex].

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