x>=1
\(\Leftrightarrow16x-13\sqrt{x-1}-9\sqrt{x+1}=0\)
\(\Leftrightarrow13\left(x-1-\sqrt{x-1}+\dfrac{1}{4}\right)+3\left(x+1-3\sqrt{x+1}+\dfrac{9}{4}\right)=0\)
\(\Leftrightarrow13\left(\sqrt{x-1}-\dfrac{1}{2}\right)^2+3\left(\sqrt{x+1}-\dfrac{3}{2}\right)^2=0\)
\(\left\{{}\begin{matrix}\sqrt{x-1}=\dfrac{1}{2}\\\sqrt{x+1}=\dfrac{3}{2}\end{matrix}\right.\)
x=5/4(tm)
Giải PT: \(\sqrt{x-7}+\sqrt{9-x}=x^2-16x+66\)
Giải PT: \(\sqrt{x-7}+\sqrt{9-x}=x^2-16x+66\)
Giải pt:
\(\sqrt{2x^2+16x+18}+\sqrt{x^2-1}=2x+4\)
giải pt: \(\sqrt[3]{x+36}-\sqrt[4]{x-1}=1\)
\(\sqrt[3]{24x-11}-16x\sqrt{2x-1}-1=0\)
Giải PT: \(\sqrt{x+9}=\sqrt{x}+\dfrac{2\sqrt{2}}{\sqrt{x}+1}\)
Giải pt:
\(\sqrt{2x-2}-\sqrt{6x-9}=16x^2-48x+35\)
Giải PT: \(8x^2+16x-20-\sqrt{x+15}=0\)
Giải phương trình
\(\sqrt{x^2+2x+1}+\sqrt{x^2+4x+4}+\sqrt{x^2+6x+9}+\sqrt{x^2+16x+64}=8\)
giải pt \(\sqrt{x}-\sqrt{x-1}-\sqrt{x-4}+\sqrt{x-9}=0\)
