\(\Rightarrow\left(x^2+4x+7\right)^2=\left(x+4\right)^2\left(x^2+7\right)\)
\(\Leftrightarrow7\left(x^2-9\right)=0\Leftrightarrow x=\pm3\)
Thử lại thấy cả 2 nghiệm đều thoả.
giai phuong trinh ;\(7+2\sqrt{x}-x=\left(2+\sqrt{x}\right)\sqrt{7-x}\)
Giai phuong trinh:
\(28+\sqrt[3]{x^2}=3x+2\sqrt[3]{x}+\left(x-4\right)\sqrt{x-7}\)
Giai phuong trinh:
\(\sqrt{x+\frac{3}{x}}=\frac{x^2+7}{2\left(x+1\right)}\)
GIAI PHUONG TRINH:
\(2\left(\sqrt{\frac{x-1}{4}-3}\right)=2\sqrt{\frac{4x-4}{9}}-\frac{1}{3}\)
giai phuong trinh \(\sqrt{2x^2+11x+19}+\sqrt{2x^2+5x+7}=3\left(x+2\right)\)
giai phuong trinh:
\(\left(\sqrt{x+4}-2\right)\left(\sqrt{4-x}+2\right)=2x\)
Giai phuong trinh :
\(2\left(x^2-3x-1\right)-7\sqrt{x^3-1}=0\)
Giai phuong trinh
\(\sqrt{x.\left(x-1\right)}+\sqrt{x\left(x+2\right)}=2x\)
Giai he phuong trinh
\(x^2-x+4=2\sqrt{x-1}\left(1-x\right)\)
