ĐKXĐ: x>=11
\(\sqrt{25x-275}-\sqrt{9x-99}-\sqrt{x-11}=1\)
=>\(\sqrt{25\left(x-11\right)}-\sqrt{9\left(x-11\right)}-\sqrt{x-11}=1\)
=>\(5\sqrt{x-11}-3\sqrt{x-11}-\sqrt{x-11}=1\)
=>\(\sqrt{x-11}=1\)
=>x-11=1
=>x=12(nhận)
√x-2 + √4x-8 + √9x-18 = √25x-50+9
Giải phương trình
\(\sqrt{16x+16}+\sqrt{9x+9}-\sqrt{25x+25}+2\sqrt{x+1}=8\)
giai phuong trinh
\(\sqrt{x}-5+\dfrac{1}{3}\sqrt{9x}-45=\dfrac{1}{5}\sqrt{25x}-125=6\)
giup minh voi
Giải các phương trình sau:
a)\(\sqrt{3x+1}=\sqrt{4x-3}\)
b)\(\sqrt{9x+18}-5\sqrt{x+2}+\dfrac{4}{5}\sqrt{25x+50}=6\)
\(\sqrt{\dfrac{x+2}{4}}+\sqrt{25x+50}-2\sqrt{x+2}=14\) ; \(\sqrt{2x+3}=x\) ; \(\sqrt{25x^2+20x+4}=1\) ; \(\sqrt{\dfrac{x+1}{2x-1}}=2\) ; \(\dfrac{\sqrt{x-2}}{\sqrt{3x+1}}=6\)
Tìm x
Giải phương trình:
a, \(\sqrt{2x^2-9x+4}+3\sqrt{2x-1}=\sqrt{2x^2+21x-11}\)
b, \(\sqrt{1-x}+\sqrt{x^2-3x+2}+\left(x-2\right)\sqrt{\frac{x-1}{x-2}=3}\)
Bài 1: Giải PT
a) \(\sqrt{x^2-1}-x^2+1=0\)
b) \(\sqrt{x^2-4}-x+2=0\)
c) \(\sqrt{x^4-8x^2+16}=2-x\)
d) \(\sqrt{9x^2+6x+1}\sqrt{11-6\sqrt{2}}\)
e) \(\sqrt{4^2-9}=2\sqrt{2x+3}\)
f) \(\sqrt{4x-20}+3\sqrt{\dfrac{x-5}{9}}-\dfrac{1}{3}\sqrt{9x-45}=4\)
\(\sqrt{25x-25}-\sqrt{4x-4}-\sqrt{x}-1=0\)
tìm x biết
\(\frac{1}{5}\sqrt{25x+50}-5\sqrt{x+2}+\sqrt{9+18}+9=0\)
