Question

2√(x+1) -2√(4x+4)=6-√(9x+9)

 

Answer 1

\(2\sqrt{x+1}-2\sqrt{4x+4}=6-\sqrt{9x+9}\)

`<=> 2 sqrt{x+1} - 2 sqrt{4(x+1)} = 6 - sqrt{9(x+1)}`

`<=> 2 sqrt{x+1} - 4 sqrt{x+1} = 6 - 3 sqrt{x+1}`

`<=> 2 sqrt{x+1} - 4 sqrt{x+1} + 3 sqrt{x+1}= 6 `

`<=> sqrt{x+1} =6`

`<=> x+1 =6^2 =36`

`=> x =36-1=35`

Answer 2

\(\Leftrightarrow2\sqrt{x+1}-4\sqrt{x+1}=6-3\sqrt{x+1}\)

\(\Leftrightarrow\sqrt{x+1}=6\)

=>x+1=36

hay x=35