\(a.\)
\(1-\dfrac{1}{2}\left(\dfrac{3}{2}-2x\right)=4x-\dfrac{1}{4}\)
\(\Rightarrow1-\dfrac{3}{4}+x=4x-\dfrac{1}{4}\)
\(\Rightarrow1-\dfrac{3}{4}+\dfrac{1}{4}=4x-x\)
\(\Rightarrow3x=\dfrac{1}{2}\)
\(\Rightarrow x=\dfrac{1}{6}\)
\(b.\)
\(x^{10}=1024\)
\(\Rightarrow x^{10}=2^{10}\)
\(\Rightarrow x=2\)
\(c.\)
\(3^x=81\)
\(\Rightarrow3^x=3^4\)
\(\Rightarrow x=4\)
1. Tìm x biết:
a) \(\left(x+36\right)^2=1936\)
b) \(\dfrac{3}{5}^{x+2}=\dfrac{81}{625}\)
c) \(2005^{\left(2x-1\right)\left(2+3x\right)}=1\)
d) \(\left(\dfrac{9}{16}\right)^{x-5}=\left(\dfrac{4}{3}\right)^4\)
e) \(\left(\dfrac{3}{5}\right)^x.\left(\dfrac{125}{72}\right)^5=\dfrac{81}{625}\)
2. a) Tìm x biết:
\(\left(3x+1\right)^4=\left(3x-1\right)^2\)
b) Có số hữu tỉ x thõa mản đẳng thức
\(\left(3x+1\right)^4+\left(3x-1\right)^2=0\)
3. Tính giá trị của biểu thức:
\(A=\left\{-\left[-\left(\dfrac{1}{x}\right)^2\right]^3\right\}^5.\left\{-\left[-\left(-x\right)^5\right]^2\right\}^3\) ( \(x\notin0\)
4. Tìm các cặp số (x,y) thõa mản các đk sau:
a) \(x\left(x+y\right)=\dfrac{5}{12}\) và \(y\left(x+y\right)=\dfrac{5}{18}\)
b) \(x\left(x-y\right)=\dfrac{2}{45}\) và \(y\left(x-y\right)=\dfrac{1}{25}\)
Mai nộp rồi còn 4 bài đó ( help me )
Tìm x biết:
a) \(x:\left(-\dfrac{1}{2}\right)^3=-\dfrac{1}{2}\); b) \(\left(\dfrac{3}{4}\right)^5.x=\left(\dfrac{3}{4}\right)^7\)
a) \(x:\left(-\dfrac{1}{2}\right)^3=-\dfrac{1}{2}\)
b)\(\left(\dfrac{3}{4}\right)^2.x=\left(\dfrac{3}{4}\right)^5\)
Tìm x biết :
a) \(x^2-3=1\)
b) \(2x^3+12=-4\)
c) \(\left(2x-3\right)^2=16\)
d) \(x:\left(\dfrac{-1}{2}\right)^1=\dfrac{-1}{2}\)
h) \(\left(\dfrac{1}{4}-x\right)^2=\dfrac{25}{16}\)
i) \(\left(x+\dfrac{1}{3}\right)^3=\dfrac{-1}{8}\)
k) \(\left(\dfrac{1}{2}-x\right)^2=1\)
Bài 17: Tìm x, biết
a) \(\left(\dfrac{1}{7}x-\dfrac{2}{7}\right)\left(-\dfrac{1}{5}x+\dfrac{3}{5}\right)\left(\dfrac{1}{3}x+\dfrac{4}{3}\right)=0\)
b) \(\dfrac{1}{6}x+\dfrac{1}{10}x-\dfrac{4}{15}x+1=0\)
Giúp mk vs, ai nhanh mk sẽ tick
bài 1 tính
a/ \(\left|1\dfrac{1}{2}-2\dfrac{1}{3}\right|^2+\left|1-\dfrac{5}{4}\right|\)
b/\(\left|\left(-1\right)^{100}-2\dfrac{1}{3}\right|+\dfrac{5}{6}\)
c/\(\left|\left(\dfrac{2}{3}\right)^{-1}-\dfrac{7}{4}\right|-\dfrac{7}{4}\)
d/ \(\left|x-5\right|+\left|x-8\right|\) với 5 \< x>/
Nhờ mọi người giúp mình vs!
Tìm x thuộc Q khi:
a)3x-1 =243
b)\(\left(\dfrac{2}{3}\right)^{x+1}=\dfrac{8}{4}\)
c) 3x+3x+2=270
d) \(\left(x-\dfrac{5}{2}\right)^2=144\)
e) \(\left(2x+1\right)^3=\dfrac{215}{27}\)
f) (2x-1)5 = -243
h) (27-1)2 = (2x-1)2
i) (2x+1)2 + (x+1)10 = 0
k) \(\dfrac{x-2}{5}=\dfrac{X+3}{2}\)
l) \(\dfrac{2}{x}=\dfrac{x}{50}\)
m) \(\dfrac{\left(x-3\right)}{4}=\dfrac{4}{x+3}\)
n) \(|x+\dfrac{3}{5}|-|x-\dfrac{7}{3}|\)
Bài 1: Tìm x, y biết
a) \(-0,2:x=x:\left(-0,8\right)\)
b) \(-0,2:2\dfrac{1}{5}=4,5:\left(2x-1\right)\)
c) \(\dfrac{x-1}{x-2}=-\dfrac{3}{4}\) ( với x \(\ne\) 2 )
d) \(\dfrac{2-x}{5-x}=\dfrac{x+3}{x+2}\)
e) \(\dfrac{x}{4}=\dfrac{y}{3}\) và \(2y-3x=-12\)
f) \(3x=-4y\) và \(2x-15=y+5\)
g) \(-4x=5y\) và \(xy=-80\)
1,Tìm x,biết
a,\(\left(-1\dfrac{3}{5}+x\right)\div\dfrac{12}{13}=2\dfrac{1}{6}\)
b,\(\dfrac{-4}{7}x+\dfrac{7}{5}=\dfrac{1}{8}\div\left(-1\dfrac{2}{3}\right)\)
