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.


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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

	$o k a y s i r$
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