Tuyển Cộng tác viên Hoc24 nhiệm kì 26 tại đây: https://forms.gle/dK3zGK3LHFrgvTkJ6
1. Tính:a) A=1253.24; b) B=\(\frac{1}{49^4}\).77; c) C=\(\frac{27^3+9^5}{81^3+3^{11}}\); d) D=\(\frac{\frac{4}{9}+\frac{28}{15}-\frac{12}{4}}{\frac{5}{9}+\frac{35}{15}-\frac{15}{4}}\)
2. a) Tìm GTNN của A= (2x-3)2-7; b) Tìm GTLN của 3- giá trị tuyệt đối của 3x-2
3. Tìm sốx nguyên để các số sau là số nguyên: a)A= 2+\(\frac{3}{x+1}\);b) B=\(\frac{3x-1}{x-1}\)
A=\(\frac{x+5}{x+1}=\frac{x+1+1}{x+1}=1+\frac{4}{xc\text{ộ}ng1}\)
B=\(\frac{2x+4}{x+3}=\frac{2x+2.3-2}{x+3}\)
tìm giá trị nguyên x
Tìm x biết
a) x+2x+3x+4x+...+100x=-213
b)\(\frac{1}{2}x-\frac{1}{3}=\frac{1}{4}x-\frac{1}{6}\)
c)3(x-2)+2(x-1)=10
d)\(\frac{x+1}{3}=\frac{x-2}{4}\)
e)\(\frac{x-6}{7}+\frac{x-7}{8}+\frac{x-8}{9}=\frac{x-9}{10}+\frac{x-10}{11}+\frac{x-11}{12}\)
f)\(\frac{x+32}{11}+\frac{x+23}{12}=\frac{x+38}{13}+\frac{x+27}{14}\)
Bài 1 : Tìm x biết :
a, \(\left|\frac{3}{2}x+\frac{1}{2}\right|=\left|4x-1\right|\)
b, \(\left|\frac{5}{4}x-\frac{7}{2}\right|-\left|\frac{5}{8}x+\frac{3}{5}\right|=0\)
c,\(\left|\frac{7}{5}x+\frac{2}{3}\right|=\left|\frac{4}{3}x-\frac{1}{4}\right|\)
Bài 2 : Tìm x biết :
a, | 2x - 5 | = x +1
b, | 3x - 2 | -1 = x
c, | 3x - 7 | = 2x + 1
d, | 2x-1 | +1 = x
tìm x :
\(a.\frac{2}{3x}-\frac{3}{12}=\frac{4}{5}\left(\frac{7}{x}-2\right)\)
\(b.\frac{1}{x-1}+\frac{-2}{3}=\frac{5-3x}{6}-\frac{1}{3}\)
\(c.3-\frac{2}{2x-3}=\frac{2}{5}+\frac{2}{9-6x}-\frac{3}{2}\)
\(d.\frac{x}{2}-\frac{1}{x}=\frac{1}{12}\)
\(e.x^2-\frac{7}{6}x+\frac{1}{3}=0\)
\(l.\frac{13}{x-1}+\frac{5}{2x-2}-\frac{6}{3x-3}\)
Bài 1 thực hiện phép tính
a)\(\frac{45}{19}-\left(\frac{1}{2}+\left(\frac{1}{3}+\left(\frac{1}{4}\right)^{-1}\right)^{-1}\right)^{-1}.\)
b) \(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^{10}.6^{19}-7.2^{29}.27^6}.\)
Bài 2. tìm x, biết:
a) 2(x-1) - 3(2x+2) - 4(2x+3) =16
b) \(3\frac{1}{2}:\left|2x-1\right|=\frac{21}{22}\)
c) |x2+|x-1|| = x2+2
Bài 3. Chứng minh rằng số có dạng abcabc luôn chia hết cho 11
Bài 4.tính:
a) A = \(\left(\frac{0,4-\frac{2}{9}+\frac{2}{11}}{1,4-\frac{7}{9}+\frac{7}{11}}-\frac{\frac{1}{3}-0,25+\frac{1}{5}}{1\frac{1}{6}-0,875+0,7}\right):\frac{2012}{2013}\)
b) B =\(4.\left(-\frac{1}{2}\right)^2-2.\left(-\frac{1}{2}\right)^2+3.\left(-\frac{1}{2}\right)+1\)
c) C =\(\frac{1}{2}:\left(-1\frac{1}{2}\right):1\frac{1}{3}:\left(-1\frac{1}{4}\right):1\frac{1}{5}:\left(-1\frac{1}{6}\right):...:\left(-1\frac{1}{100}\right)\)
d) D =\(\frac{4^6.9^5+6^9.120}{-8^4.3^{12}+6^{11}}\)
đang cần gấp chìu nộp cho cô òi ( ai nhanh + đúng = 20 ticks
bài 1 tính
4.\(\left(\frac{-1}{2}\right)^3-2.\left(\frac{-1}{2}\right)^2+3.\left(\frac{-1}{2}\right)+1\)1
bài 2 : tìm x
a)\(\frac{37-x}{x+13}=\frac{3}{7}\)
b) | x - \(\frac{1}{2}\)| - \(\sqrt{\frac{1}{9}}=\sqrt{\frac{1}{4}}\)
c) \(2^{3x+2}=4^{x+5}\)
d) \(\frac{3^2.3^8}{27^3}=3^x\)
bài 3: tìm x,y
a)\(\frac{2x}{3y}=-\frac{1}{3}\)và -2x+3y=7
Bài 1: Tìm x:
a)\(\frac{3}{4}+\frac{2}{5}x=\frac{29}{60}\)
b)\(1\frac{3}{4}\cdot x+1\frac{1}{2}=-\frac{4}{5}\)
c)\(\frac{11}{12}-\left(\frac{2}{5}+x\right)=\frac{2}{3}\)
d)\(2\frac{3}{4}x=3\frac{1}{7}:0,01\)
e)\(2x\cdot\left(x-\frac{1}{7}\right)=0\)
tìm x biết: a)\(\frac{13}{x-1}+\frac{5}{2x-2}=\frac{6}{3x-3}\)
b)
\(\frac{1}{x-1}+\frac{-2}{3}\left(\frac{3}{4}-\frac{6}{5}\right)=\frac{5}{2-2x}\)
c)\(3-\frac{2}{2x-3}=\frac{2}{5}+\frac{2}{9-6x}-\frac{3}{2}\)