pt căn thức

D

dien0709

$6(x+1-\sqrt{4x+1}) = 5\sqrt{(2-x)(4x+1)} - 3\sqrt{2-x}$ đk...

$u=\sqrt{2-x}\ge 0 , v=\sqrt{4x+1}\ge 0\to x+1=\dfrac{u^2+v^2}{3}$

$pt\iff 2u^2-(5v-3)u+2v^2-6v=0\to u=2v\to x=-\dfrac{2}{17}$

Hoặc $2u=v-3\to v\ge 3\to x=2$
 
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