gamme 4^{-x+1}-1

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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xy=2, 2x²+y²=6

Solution

(

`x`=1,	`y`=2
`x`=−1,	`y`=−2
`x`=√2,	`y`=√2
`x`=−√2,	`y`=−√2

)

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Solution steps

One step at a time

[

xy=2

2x²+y²=6

]

Isoler x pour xy=2: x=2y ; y≠ 0

Intégrer les solutions x=2y dans 2x²+y²=6

Pour 2x²+y²=6, remplacer x par 2y : y=2, y=−2, y=√2, y=−√2

Intégrer les solutions y=2, y=−2, y=√2, y=−√2 dans xy=2

Pour xy=2, remplacer y par 2: x=1

Pour xy=2, remplacer y par −2: x=−1

Pour xy=2, remplacer y par √2: x=√2

Pour xy=2, remplacer y par −√2: x=−√2

Vérifier des solutions en les intégrant dans les équations d'origine

Par conséquent, les solutions finales pour xy=2, 2x²+y²=6 sont

(

`x`=1,	`y`=2
`x`=−1,	`y`=−2
`x`=√2,	`y`=√2
`x`=−√2,	`y`=−√2

)

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

gamme 4^{-x+1}-1

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