1. Giai phuong trinh Giup e vs mn oi
a) \(\sqrt{\frac{2x-3}{x-1}}\)= 2 ;
b) \(\sqrt{4x^2-9=2}\)\(\sqrt{2x+3}\)
c) 2\(\left(\sqrt{\frac{x-1}{4}-3}\right)\)= 2\(\sqrt{\frac{4x-4}{9}}\)-\(\frac{1}{3}\)
d) \(\frac{9x-7}{\sqrt{7}+5}\)= \(\sqrt{7x}+5\)
Giair phuong trinh
\(\sqrt{x^2-\frac{1}{4}-\sqrt{x^2+x+\frac{1}{4}}}=\frac{1}{2}\left(2x^3+x^2+2x+1\right)\)
Giai phuong trinh:
\(\sqrt{x+\frac{3}{x}}=\frac{x^2+7}{2\left(x+1\right)}\)
Giai phuong trinh:
\(\frac{15}{2}\left(30x^2-4x\right)=2004\left(\sqrt{30060x+1}+1\right)\)
\(\left(\frac{1-a\sqrt{a}}{1-\sqrt{a}}+\sqrt{a}\right)\left(\frac{1-\sqrt{a}}{1-a}\right)^2\) giai phuong trinh
giai phuong trinh
\(\frac{1}{\sqrt{x}+\sqrt{x+1}}+\frac{1}{\sqrt{x+1}+\sqrt{x+2}}+\frac{1}{\sqrt{x+2}+\sqrt{x+3}}=1\)
giai phuong trinh
\(18x^2-2x-\frac{17}{3}+9\sqrt{x-\frac{1}{3}}=0\)
Cho \(x=\frac{1}{2}\sqrt{\frac{\sqrt{2}-1}{\sqrt{2}+1}}\) Tính giá trị BT
\(A=\left(4x^5+4x^4-x^3+1\right)^{2018}+\left(\sqrt{4x^5+4x^4-5x^3+3}\right)^3+\left(\frac{1-\sqrt{2}x}{\sqrt{2x^2+2x}}\right)\)tại giá trị x
giai phuong trinh a) \(\left(\frac{x+3}{x+2}\right)^2+6\cdot\left(\frac{x-3}{x-2}\right)^2-5\cdot\frac{x^2-9}{x^2-4}=0\)
b)(12x-1)*(x-1)*(4x-1)*(3x-1)=330
c)\(\frac{4x}{x^2+5x+3}+\frac{5x}{x^2-5x+3}=\frac{-3}{2}\)