Question

\(\sqrt{2x-1}+\dfrac{3}{2}\sqrt{8x-4}-\dfrac{2}{5}\sqrt{50x-25}-4=0\)

Answer 1

`sqrt{2x-1} +3/2 sqrt{8x-4} - 2/5 sqrt(50x-25) -4 =0`

`Đk : 2x -1 >= 0 <=> x >= 1/2`

`<=> sqrt{2x-1} + 3/2sqrt{4(2x-1)} -2/5sqrt{25(2x-1)} =4`

`<=> sqrt{2x-1} + 3/2 .2.sqrt{2x-1} - 2/5 .5.sqrt{2x-1} =4`

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

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

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

`<=> sqrt{2x-1} = 2`

`<=> 2x-1=4`

`<=> 2x = 4+1=5`

`<=> x = 5/2(t//m)`

Answer 2

\(\Leftrightarrow\sqrt{2x-1}+3\sqrt{2x-1}-2\sqrt{2x-1}=4\)

=>2 căn 2x-1=4

=>căn 2x-1=2

=>2x-1=4

=>2x=5

=>x=5/2