Question

giúp em với ạ

Answer 1

\(ĐK:x\ge1\\ PT\Leftrightarrow3\sqrt{x+1}+\sqrt{x+1}=20\\ \Leftrightarrow\sqrt{x+1}=5\Leftrightarrow x+1=25\Leftrightarrow x=24\left(tm\right)\)

Answer 2

\(\sqrt{9x+9}+\sqrt{x+1}=20\left(đk:x\ge-1\right)\)

\(\Leftrightarrow3\sqrt{x+1}+\sqrt{x+1}=20\)

\(\Leftrightarrow4\sqrt{x+1}=20\Leftrightarrow\sqrt{x+1}=5\)

\(\Leftrightarrow x+1=25\Leftrightarrow x=24\left(tm\right)\)

Answer 3

ĐK: $x\ge -1$

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

$\Leftrightarrow 3\sqrt{x+1}+\sqrt{x+1}=20$

$\Leftrightarrow 4\sqrt{x+1}=20$

$\Leftrightarrow \sqrt{x+1}=5$

$\Leftrightarrow x+1=25$

$\Leftrightarrow x=24(TM)$

Answer 4

\(\sqrt{9\left(x+1\right)}+\sqrt{x+1}=20\)

\(3\sqrt{x+1}+\sqrt{x+1}=20\)

\(4\sqrt{x+1}=20\)

\(\sqrt{x+1}=5\)

\(x+1=25\Leftrightarrow x=24\)

Answer 5

\(\sqrt{9x+9}+\sqrt{x+1}=20\)

Đk: x\(\ge\)-1

Pt: \(\Rightarrow3\sqrt{x+1}+\sqrt{x+1}=20\)

\(\Rightarrow\sqrt{x+1}=5\Rightarrow x+1=25\Rightarrow x=24\left(tmđk\right)\)

Answer 6

TL:

\(x=25\left(tm\right)\)

HT

Answer 7

\(\sqrt{9\left(x+1\right)}+\sqrt{x+1}=\sqrt{9}\sqrt{x+1}+\sqrt{x+1}=3\sqrt{x+1}+\sqrt{x+1}=4\sqrt{x+1}\)