ĐKXĐ: x>=2
\(\sqrt{x-2}+\dfrac{2}{3}=1\)
=>\(\sqrt{x-2}=1-\dfrac{2}{3}=\dfrac{1}{3}\)
=>\(x-2=\dfrac{1}{9}\)
=>\(x=2+\dfrac{1}{9}=\dfrac{19}{9}\left(nhận\right)\)
1. Tìm x:
a/\(\sqrt{\dfrac{x-1}{x-3}=2}\)
b/\(\sqrt{\left(x-2\right)^2=7}\)
2. Tính:
\(\dfrac{\sqrt{6}+\sqrt{10}}{3+\sqrt{15}}\)
Bài 1: Tìm x; y ϵ \(ℤ\)
a) 2x - y\(\sqrt{6}\) = 5 + (x + 1)\(\sqrt{6}\)
b) 5x + y - (2x -1)\(\sqrt{7}\) = y\(\sqrt{7}\) + 2
Bài 2: So sánh M và N
M = \(\dfrac{\dfrac{3}{4}+\dfrac{3}{5}+\dfrac{3}{7}-\dfrac{3}{11}}{\dfrac{6}{4}+\dfrac{6}{5}+\dfrac{6}{7}-\dfrac{6}{11}}\)
N = \(\dfrac{\dfrac{2}{3}+\dfrac{2}{5}-\dfrac{2}{7}-\dfrac{2}{11}}{\dfrac{6}{2}+\dfrac{6}{5}-\dfrac{6}{7}-\dfrac{6}{11}}\)
Bài 3: Chứng minh:
\(\dfrac{1}{2!}+\dfrac{1}{3!}+\dfrac{1}{4!}+...+\dfrac{1}{2023!}< 1\)
a,0,4.\(\sqrt{0,25-\sqrt{\dfrac{1}{4}}}\)
b,3/2+2(x-1)=-5\(\dfrac{1}{2}\)
c.7/4|x+4/5|+1/3=8/3
a,-12:(3/4-5/6)^2
,b,10.\(\sqrt{0.01}.\sqrt{\dfrac{16}{9}+3\sqrt{49}-\dfrac{1}{6}\sqrt{4}}\)
c,x/6=y/3=z/2 và x-2y+4z=8
d,|1/4+x|-1/3=2/5
Tìm \(x\)
a) \(\dfrac{2-x}{4}=\dfrac{3x-1}{3}\)
b) \(\dfrac{x}{7}=\dfrac{x+16}{35}\)
c) \(\sqrt{x^2+1}=3\)
-8 x ( \(-\dfrac{1}{4}\))\(^2\) + | \(-\dfrac{1}{3}\) | : \(\sqrt{\dfrac{1}{9}}\)=???
72x+72x+3=344 (5-x)(9x2-4)=0 \(\left|2-2x\right|\)-3,75=(-0,5)2
\(\sqrt{x-1}\)+\(\dfrac{2}{3}\)=1 (\(\dfrac{1}{3}\)-\(\dfrac{3}{2}\)x)2=2\(\dfrac{1}{4}\) giúp mình với!!!! cảm ơn nhìu=))❤
a)22+2x+3=144
b)(\(\sqrt{9}+\sqrt{4}\)).\(\sqrt{x}\)=10
c)(x+\(\dfrac{1}{2}\))2=\(\dfrac{4}{25}\)
Tìm x, biết:
a) \(\dfrac{-3}{2}x+\dfrac{1}{4}=\dfrac{1}{2}\left(x+1\right)\)
b) \(\left(6-3\sqrt{x}\right)\left(\left|x\right|-7\right)=0\)
\(\left|x+\dfrac{1}{2}\right|-\sqrt{\dfrac{1}{4}}=\dfrac{3}{4}\)
