Ta có: \(3\left(x+5\right)^2=\frac{1}{2}\)
\(\Leftrightarrow\left(x+5\right)^2=\frac{1}{6}\)
\(\Leftrightarrow\left[{}\begin{matrix}x+5=\frac{1}{\sqrt{6}}\\x+5=-\frac{1}{\sqrt{6}}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=\frac{-30+\sqrt{6}}{6}\\x=\frac{-30-\sqrt{6}}{6}\end{matrix}\right.\)
Vậy: \(x\in\left\{\frac{-30+\sqrt{6}}{6};\frac{-30-\sqrt{6}}{6}\right\}\)
Bài 1: Tìm x, biết
\(a,\frac{2}{3}-\frac{1}{3}.\left(x-\frac{3}{2}\right)-\frac{1}{2}.\left(2x+1\right)=5\)
\(b,\left(x+\frac{1}{2}\right).\left(x-\frac{3}{4}\right)=0\)
\(c,\left(2x-5\right)^4=81\)
\(d,3^{x+1}+3^{x+3}=810\)
Tìm x
\(1.\left(x+0,7\right)^3=-27\)
\(2.\left(2x-1\right)^{10}=49^5\)
\(3.\left(\frac{2}{3}x-\frac{1}{3}\right)^5=\frac{1}{243}\)
\(4.\left(\frac{2}{5}-3x\right)^2=\frac{9}{25}\)
CÁC BẠN GIÚP MÌNH VỚI !!!!!
bài 2
q,\(\frac{11}{3}-\left(\frac{5}{42}-x\right)\)
b,\(x+\frac{1}{3}=\frac{2}{5}-\left(\frac{-1}{3}\right)\)
c,\(\frac{-2}{3}x+\frac{5}{7}=\frac{3}{10}\)
d,\(\frac{3}{7}-x=\frac{1}{4}-\left(\frac{-3}{5}\right)\)
4. Tìm x biết:
a) (3x - 7)5 = 0;
b) \(\frac{1}{4}\) - (2x - 1)2 = 0;
c) \(\frac{1}{16}\) - (5 - x)3 = \(\frac{31}{64}\);
d) 2x = (3,8)3 : (-3,8)2;
e) \(\left(\frac{27}{64}\right)^9\). x = \(\left(-\frac{3}{4}\right)^{32}\);
f) \(5^{\left(x+5\right)\left(x^2-4\right)}\) = 1;
g) (x - 2,5)2 = \(\frac{4}{9}\);
h) \(\left(2x+\frac{1}{3}\right)^3=\frac{8}{27}\)
Tìm x
a, \(3^{x+2}-3^{x+1}=162\)
b,\(5^{x+2}-2.5^{x+1}=375\)
c, \(\left(\frac{8}{27}\right)^x=\left(\frac{2}{3}\right)^{-12}\)
d, \(\left(2x+1\right)^3=-64\)
Giúp mik với nha
Tìm x biết:
a) \(x:\left(-\dfrac{1}{2}\right)^3=-\dfrac{1}{2}\); b) \(\left(\dfrac{3}{4}\right)^5.x=\left(\dfrac{3}{4}\right)^7\)
bài5
(x+1) (x-2)<0 (x-2) (x+\(\frac{2}{3}\))>0
\(\frac{3}{7}-x=\frac{1}{4}-\left(\frac{-3}{5}\right)\)
giúp mình với làm ơn
Bài 1: Tính giá trị các biểu thức sau
a,\(\left[2^{-3}-\left(\frac{3}{4}\right)^{-4}.\left(-\frac{1}{2}\right)^2\right]:\left[5-3\left(\frac{4}{15}\right)^0\right]^{-2}\)
b, \(\frac{2^3+3.2^6-4^3}{2^3+3^2}\)
c, \(\frac{5^5.20^3-5^4.20^3+5^7.4^5}{\left(20+5\right)^3.4^5}\)
d, \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
e, \(\frac{5.\left(3.7^{15}-19.7^{14}\right)}{7^{16}+3.7^{15}}\)
f, \(\frac{3^3.\left(0,5\right)^5}{\left(1,5\right)^4}\)
Mk cần gấp
a,\(\frac{-1}{24}-\left[\frac{1}{4}-\left(\frac{1}{2}-\frac{7}{8}\right)\right]\)
b,\(\left[\frac{5}{7}-\frac{7}{5}\right]-\left[\frac{1}{2}-\left(\frac{-2}{7}-\frac{1}{10}\right)\right]\)
c,\(\left(\frac{-1}{2}\right)-\left(\frac{-3}{5}\right)+\left(\frac{-1}{9}\right)+\frac{1}{71}-\left(\frac{-2}{7}\right)+\frac{4}{35}-\frac{7}{8}\)
d,\(\left(3-\frac{1}{4}+\frac{2}{3}\right)-\left(5-\frac{1}{3}-\frac{6}{5}\right)-\left(6-\frac{7}{4}+\frac{3}{2}\right)\)
e,\(\left(\frac{1}{2}-\frac{13}{14}\right):\frac{5}{7}-\left(\frac{-2}{21}+\frac{1}{7}\right):\frac{5}{7}\)
g,\(\frac{4}{9}:\left(\frac{-1}{7}\right)+6\frac{5}{9}:\left(\frac{-1}{7}\right)\)
