\(\left(\sqrt{4x-20}-3\sqrt{\dfrac{x-5}{9}}\right)^2=1-x\\ 4\left(x-5\right)+x-5-12\sqrt{\dfrac{\left(x-5\right)^2}{9}}=1-x\\ 5\left(x-5\right)-4\left(x-5\right)=1-x\\ x-5=1-x\\ 2x=6\\ x=3\)
Tìm x biết
a) \(\dfrac{5}{3}\sqrt{15x}-\sqrt{15x}-2=\dfrac{1}{3}\sqrt{15x}\)
b) \(\sqrt{16x+16}-\sqrt{9x+9}+\sqrt{4x+4}+\sqrt{x+1}=16\)
c ) \(\sqrt{4x+20}-3\sqrt{5+x}+\dfrac{4}{3}\sqrt{9x+45}=6\)
d) \(\sqrt{25x-25}-\dfrac{15}{2}\sqrt{\dfrac{x-1}{9}}=6+\sqrt{x+1}\)
e ) \(\sqrt{4x^2+4x+1}=1\)
* Giải phương trình:
a. \(\sqrt{x^2-6x+9}=2\)
b. \(\sqrt{4x-20}+\sqrt{x-5}-\dfrac{1}{3}\sqrt{9x-45}=4\)
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) \(\left(x+1\right)\left(x+4\right)-3\sqrt{x^2+5x+2}=6\)
Bài 1: Tìm x, biết
a)\(2\sqrt{9x-27}-\dfrac{1}{5}\sqrt{25x-75}-\dfrac{1}{7}\sqrt{49x-147}=20\)
b) \(\sqrt{9x+18}-5\sqrt{x+2}+\dfrac{4}{5}\sqrt{25x+50}=6\)
c)\(\sqrt{16x-16}-\sqrt{9x-9}+\sqrt{4x-4}+\sqrt{x-1}=8\)
d) \(\sqrt{x+2\sqrt{x-1}}-\sqrt{x-2\sqrt{x-1}}=2\)
\(\sqrt{5x+3}=\sqrt{3-\sqrt{2}}\)
\(\sqrt{4x-20}-3\sqrt{\dfrac{x-5}{9}}=\sqrt{1-x}\)
\(\sqrt{\dfrac{-3}{2+x}}=2\)
Giải phương trình:
1, \(x^2\sqrt{x}+\left(x-5\right)^2\sqrt{5-x}=11\left(\sqrt{x}+\sqrt{5-x}\right)\)
2, \(2x+1+x\sqrt{x^2+2}+\left(x+1\right)\sqrt{x^2+2x+3}=0\)
3, \(\sqrt{x+2-3\sqrt{2x-5}}+\sqrt{x-2+\sqrt{2x-5}}=2\sqrt{2}\)
4, \(\sqrt{x^2-\dfrac{1}{4x}}+\sqrt{x-\dfrac{1}{4x}}=x\)
5, \(\sqrt{5x^2+14x+9}-\sqrt{x^2-1-20}=5\sqrt{x+1}\)
Giải các phương trình sau
1) \(\sqrt{9x+9}-4\sqrt{\dfrac{x+1}{4}}=5\)
2) \(\sqrt[]{x-5}-2\sqrt{4x-20}-\dfrac{1}{3}\sqrt{9x-45}=12\)
3) \(\sqrt{16x-16}-\sqrt{9x-9}+\sqrt{x-1}=5\)
Giúp em sớm với ạ! Em đang cần gấp
1) Tìm x biết
a) \(\sqrt{4x-20}+\sqrt{x-5}-\frac{1}{3}=\sqrt{9x-45}=4\)
b) \(\sqrt{16x-32x}-\sqrt{12x}=\sqrt{3x}+\sqrt{9-18x}\)
c) \(\sqrt{4x-20}-3\sqrt{\frac{x-5}{9}}=\sqrt{1-x}\)
Giải phương trình:
a)\(\sqrt{4x-20}-3\sqrt{\dfrac{x-5}{9}}=\sqrt{1-x}\)
b)\(\sqrt{4x+8}+2\sqrt{x+2}-\sqrt{9x+18}=1\)
c)\(\sqrt{\sqrt{5}-\sqrt{3x}}=\sqrt{8+2\sqrt{15}}\)
d)\(\sqrt{\left(\sqrt{x}-7\right)\left(\sqrt{x}+7\right)}=2\)
