Phương trình có dấu căn

C

conga222222

$\eqalign{
& dk... \cr
& dat\;a = \sqrt {2x + 3} \;\sqrt {1 + x} = b\;\left( {a,b \ge 0} \right) \cr
& \to phuong\;trinh\;da\;cho\;tro\;thanh: \cr
& a + b = {a^2} + {b^2} + 2ab - 20 \cr
& \leftrightarrow {\left( {a + b} \right)^2} - \left( {a + b} \right) - 20 = 0 \cr
& \left[ \matrix{
a + b = 5 \cr
a + b = - 4\;loai\;do\;(a,b \ge 0) \cr} \right. \cr
& ma\;{a^2} - 2{b^2} = 2x + 3 - 2x - 2 = 1 \cr
& \to ... \cr} $
 
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