Đặt \(\hept{\begin{cases}\sqrt{x+1}=a\\\sqrt{x^2-x+1}=b\end{cases}}\)
\(\Rightarrow2\left(a^2+b^2\right)=5ab\)
\(\Leftrightarrow\left(b-2a\right)\left(2b-a\right)=0\)
giai phuong trinh
\(\left(\sqrt{x+5}-\sqrt{x+2}\right)\left(1+\sqrt{x^2+7x+10}\right)=3\)
giai phuong trinh : \(2x^2\left(5-\sqrt[3]{5x-x^3}\right)=2x^3+17x-8\)
Giai phuong trinh
\(\sqrt{x.\left(x-1\right)}+\sqrt{x\left(x+2\right)}=2x\)
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:
\(\left(\sqrt{x+4}-2\right)\left(\sqrt{4-x}+2\right)=2x\)
Giai phuong trinh : \(\left(x+5\right)\sqrt{\left(x+1\right)+1}=\sqrt[3]{\left(3x+4\right)}\)
Giai phuong trinh giup minh 3 cau nay voi
a,\(3x\left(2-\sqrt{4}\right)=3\left(\sqrt{4}x+1\right)\)
b,\(\left(5-x\right).\left(\sqrt{3}+x\right)-5=0.\)
c,\(\left(x^2-2x\right)+\left(-4+8x\right)=0.\)
GIAI PHUONG TRINH:
\(2\left(\sqrt{\frac{x-1}{4}-3}\right)=2\sqrt{\frac{4x-4}{9}}-\frac{1}{3}\)
