* Tìm x, bt:
a.\(\sqrt{\left(2x+3\right)^2}=8\)
b.\(\sqrt{9x}-7\sqrt{x}=8-6\sqrt{x}\)
c.\(\sqrt{9x-9}+1=13\)
\(Q=\left(\frac{\sqrt{x}-1}{3\sqrt{x}-1}-\frac{1}{3\sqrt{x}+x}+\frac{8\sqrt{x}}{9x-1}\right)\div\left(1-\frac{3\sqrt{x}-2}{3\sqrt{x}+1}\right)\)
\(A=\left(\frac{\sqrt{x}-1}{3\sqrt{x}-1}-\frac{1}{3\sqrt{x}+1}+\frac{8\sqrt{x}}{9x-1}\right):\left(1-\frac{3\sqrt{x}-2}{3\sqrt{x}+1}\right)\)
Giải các phương trình sau:
a. \(\sqrt{25x+75}+3\sqrt{x-2}=2\sqrt{x-2}+\sqrt{9x-18}\)
b. \(\sqrt{\left(2x-1\right)^2}=4\)
c. \(\sqrt{\left(2x+1\right)^2}=3x-5\)
d. \(\sqrt{4x-12}-14\sqrt{\dfrac{x-2}{49}}=\sqrt{9x-18}+8\)
* giải phương trình
a. \(\sqrt{\left(x+1\right)^2}=3\)
b. \(3\sqrt{4x+4}-\sqrt{9x-9}-8\sqrt{\dfrac{x+1}{16}}=5\)
Tìm x biết:
a.\(\sqrt{18x}+2\sqrt{8x}-3\sqrt{2x}=12\)
b.\(\sqrt{9x+18}+2\sqrt{36x+72}-\sqrt{4x+8}=26\)
c.\(\sqrt{\left(x-2\right)^2}=10\)
d.\(\sqrt{9x^2-6x+1}=15\)
e.\(\sqrt{3x+4}=3x-8\)
Giải phương trình sau:
a) \(\sqrt{4x+20}-3\sqrt{5+x}+\dfrac{4}{3}\sqrt{9x+45}=6\)
b) \(\dfrac{1}{2}\sqrt{x-1}-\dfrac{3}{2}\sqrt{9x-9}+24\sqrt{\dfrac{x-1}{64}}=-17\)
c) \(2x-x^2+\sqrt{6x^2-12x+7}=0\)
d) \(\left(x+1\right)\left(x+4\right)-3\sqrt{x^2+5x+2}=6\)
1) Giải phương trình:
a) \(\sqrt{x^2+2x}-x-1+\dfrac{2\left(x-1\right)}{\sqrt{x^2+2x}}=0\)
b) \(\left(\sqrt{3x+4}-\sqrt{3x+2}\right)\left(1+\sqrt{9x^2+18x+8}\right)=2\)
* Giải phương trình
a. \(\sqrt{\left(2x-1\right)^2}=4\)
b. \(\sqrt{4x+4}-\sqrt{9x+9}-8\sqrt{\dfrac{x+
1}{16}}=5\)