$\sqrt{x-1}$ +$\sqrt{9x-9}$ =20

2 câu trả lời

`\sqrt[x-1]+\sqrt[9x-9]=20(ĐKXĐ:x>=1)`

`<=>\sqrt[x-1]+\sqrt[9(x-1)]=20`

`<=>\sqrt[x-1]+3\sqrt[x-1]=20`

`<=>4\sqrt[x-1]=20`

`<=>\sqrt[x-1]=5`

`<=>x-1=25`

`<=>x=26,tm`

Vậy `x=26`

$\sqrt{x-1}+\sqrt{9x-9}=20$

$⇔\sqrt{x-1}+3\sqrt{x-1}=20$

$ĐKXĐ:x-1≥0⇔x≥1$

$⇔\sqrt{x-1}(1+3)=20$

$⇔4\sqrt{x-1}=20$

$⇔\sqrt{x-1}=5$

$⇔x-1=25$

$⇔x=26(T/m)$

Vậy $S=${$26$}

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