[Toán 11] Giải phương trình vô tỷ

H

hoangtrongminhduc

dk
gif.latex


pt<=>[TEX]\sqrt{3x+4}-4-\sqrt{5-x}+1+(x-4)(x+\frac{4}{3})=0 [/TEX]
<=>$[TEX][/TEX] \frac{3x+4-16}{\sqrt{3x+4}+4}-\frac{5-x-1}{\sqrt{5-x}+1}+(x-4)(x+\frac{4}{3})=0 $

<=>$ (x-4)(\frac{3}{\sqrt{3x+4}+4}+\frac{1}{\sqrt{5-x}+1}+(x+\frac{4}{3})=0 $
<=>x=4 tmdk (vì $ \frac{3}{\sqrt{3x+4}+4}+\frac{1}{\sqrt{5-x}+1}+x+\frac{4}{3} $ khác 0)
 
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