we-define-in-base-x-the-number-y-and-z-by-y-123-x-and-z-201-x-1-without-knowing-x-write-the-product-x-y-z-in-function-of-x-2-we-suppose-that-x-y-z-92-find-x-y-z-

Question Number 122653 by mathocean1 last updated on 18/Nov/20

w e d e f i n e i n b a s e x t h e

n u m b e r y a n d z b y :

y = \overset{―}{123}^{x} a n d z = \overset{―}{201}^{x}

1) w i t h o u t k n o w i n g x, w r i t e

t h e p r o d u c t x \times y \times z i n f u n c t i o n

o f x .

2) w e s u p p o s e t h a t x + y + z = 92

f i n d x; y; z .

Answered by mr W last updated on 18/Nov/20

y = x^{2} + 2 x + 3

z = 2 x^{2} + 1

x y z = f (x) = x (x^{2} + 2 x + 3) (2 x^{2} + 1)

x + y + z = x + x^{2} + 2 x + 3 + 2 x^{2} + 1 = 3 x^{2} + 3 x + 4 = 92

3 x^{2} + 3 x - 88 = 0 \Rightarrow x \notin N

\Rightarrow q u e s t i o n w r o n g!

Commented by mathocean1 last updated on 18/Nov/20

o k a y s i r