\(x^2+3x+3-\sqrt{2x+3}=0\Leftrightarrow2x^2+6x+6-2\sqrt{2x+3}=0\Leftrightarrow2\left(x+1\right)^2+2x+3-2\sqrt{2x+3}+1=0\Leftrightarrow2\left(x+1\right)^2+\left(\sqrt{2x+3}-1\right)^2=0\)
\(x^2+3x+3-\sqrt{2x+3}=0\Leftrightarrow2x^2+6x+6-2\sqrt{2x+3}=0\Leftrightarrow2\left(x+1\right)^2+2x+3-2\sqrt{2x+3}+1=0\Leftrightarrow2\left(x+1\right)^2+\left(\sqrt{2x+3}-1\right)^2=0\)
Giải PT: \(\sqrt{2x^4-3x^2+1}+\sqrt{2x^4-x^2}=4x-3\)
giải pt
a,\(\sqrt{2x+5}=5;\sqrt{x-7}+3=0\)
b,\(\sqrt{3x}+1=\sqrt{10};\sqrt{16}-7x=11\)
Giải PT sau:
\(\sqrt{3x-3}-\sqrt{5-x}=\sqrt{2x-4}\)
Giải pt:
a) \(\sqrt{2x^2-3}\)=\(\sqrt{4x-3}\)
b) \(\sqrt{2x-1}\)=\(\sqrt{x-1}\)
c) \(\sqrt{x^2-x-6}\)=\(\sqrt{x-3}\)
d) \(\sqrt{x^2-x}\)=\(\sqrt{3x-5}\)
Giúp em với, anh thịnh giúp em xíu á
Giải pt 3x+x2 +7 - \(3\sqrt{x+3}-\sqrt{7x+18}\)=0
1,
A=\(3\sqrt{8}-\sqrt{50}-\sqrt{\sqrt{2}-1}\)
B=2\(\dfrac{2}{x-1}\sqrt{\dfrac{x^2-2x+1}{4x^2}}\) với 0<x<1
2,Giải pt
\(\sqrt{x^2-3x+2}+\sqrt{x+2}=\sqrt{x+2}+\sqrt{x^2+2x+3}\)
Giải pt:
\(\sqrt{2}x^3+3x^2-2=0\)
\(\sqrt{2x+9}=\sqrt{4-x}+\sqrt{3x+1}\) giải pt
(2x+14)\(\sqrt{x+5}\)=x2+15x+38 . Giải pt