Đặt \(x=a;\sqrt{4-x^2}=b\Rightarrow a^2+b^2=4\)
pt <=> \(b+a=2+3ab\Leftrightarrow a^2+2ab+b^2=4+12ab+9a^2b^2\)
<=> \(4+2ab=4+12ab+9a^2b^2\)
Đặt \(x=a;\sqrt{4-x^2}=b\Rightarrow a^2+b^2=4\)
pt <=> \(b+a=2+3ab\Leftrightarrow a^2+2ab+b^2=4+12ab+9a^2b^2\)
<=> \(4+2ab=4+12ab+9a^2b^2\)
Giai phuong trinh:
\(28+\sqrt[3]{x^2}=3x+2\sqrt[3]{x}+\left(x-4\right)\sqrt{x-7}\)
giai phuong trinh
a) \(\sqrt{3x^2-7x+3}-\sqrt{x^2-2}=\sqrt{3x^2-5x-1}-\sqrt{x^2-3x+4}\)
b) x2 - 25 = y ( y + 6 ) (x; y nguyên)
giai phuong trinh \(\sqrt{5-x^6}-\sqrt{3x^4-2}=1\)
giai he phuong trinh
\(\hept{\begin{cases}x^2-4\sqrt{3x-2}+10=2y\\y^2-6\sqrt{4y-3}+11=x\end{cases}}\)
Giai phuong trinh: \(\sqrt{5-x^6}=\sqrt[3]{3x^4-2}+1\)
Giai phuong trinh ; 2\(\sqrt{x^2-x}-2\sqrt{x}\sqrt{2x-1}+3x=1\)
giai phuong trinh:\(^{x^2+3x-x\sqrt{x^2+2}=1+2\sqrt{x^2+2}.}\)
Giai phuong trinh \(x\sqrt{x^2-x+1}+2\sqrt{3x+1}=x^2+x+3\)
giai phuong trinh:
\(\left(\sqrt{x+4}-2\right)\left(\sqrt{4-x}+2\right)=2x\)