2023 + 10 - (2020 + 2022) - 10
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$-\frac32-2x+\frac34=-2$
$\Rightarrow -\frac32-2x=-2-\frac34$
$\Rightarrow -\frac32-2x=-\frac{11}{4}$
$\Rightarrow 2x=-\frac32-(-\frac{11}{4})$
$\Rightarrow 2x=\frac54$
$\Rightarrow x=\frac54:2$
$\Rightarrow x=\frac58$
sai rồi Minh Vương
phải là
a) Lớn nhất : 9 107 531
b, bé nhất 1 075 319
x+(x+1)+(x+2)+...+(x+10)=88
=>11x+(1+2+...+10)=88
=>11x+55=88
=>x+5=8
=>x=3
Bài 1:
\(\dfrac{x-2}{5}=\dfrac{-2}{2y+1}\)
=>\(\left(x-2\right)\left(2y+1\right)=5\cdot\left(-2\right)=-10\)
mà 2y+1 lẻ
nên \(\left(x-2;2y+1\right)\in\left\{\left(2;-5\right);\left(-2;5\right);\left(-10;1\right);\left(10;-1\right)\right\}\)
=>\(\left(x;y\right)\in\left\{\left(4;-3\right);\left(0;2\right);\left(-8;0\right);\left(12;-1\right)\right\}\)
Bài 2:
a: \(\left(2x-1\right)^2+4>=4\forall x\)
=>\(B=\dfrac{20}{\left(2x-1\right)^2+4}< =\dfrac{20}{4}=5\forall x\)
Dấu '=' xảy ra khi 2x-1=0
=>\(x=\dfrac{1}{2}\)
b: \(\left(x^2+1\right)^2>=1\forall x\)
=>\(\left(x^2+1\right)^2+5>=1+5=6\forall x\)
=>\(C=\dfrac{10}{\left(x^2+1\right)^2+5}< =\dfrac{10}{6}=\dfrac{5}{3}\forall x\)
Dấu '=' xảy ra khi x=0
BÀI 4A
\(\dfrac{1}{-2}+\dfrac{1}{-6}+\dfrac{1}{-12}+\dfrac{1}{-20}+\dfrac{1}{-30}+\dfrac{1}{-42}+\dfrac{1}{-56}+\dfrac{1}{-72}+\dfrac{1}{-90}\\ =-1\cdot\left(\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+\dfrac{1}{4\cdot5}+\dfrac{1}{5\cdot6}+\dfrac{1}{6\cdot7}+\dfrac{1}{7\cdot8}+\dfrac{1}{8\cdot9}+\dfrac{1}{9\cdot10}\right)\\ =-1\cdot\left(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{10}\right)\\ =-1\cdot\left(\dfrac{1}{1}-\dfrac{1}{10}\right)=-1\cdot\dfrac{9}{10}=-\dfrac{9}{10}\)
\(\dfrac{3}{5}:\dfrac{7}{3}+\dfrac{3}{5}:\dfrac{7}{4}-1\dfrac{3}{5}\)
\(=\dfrac{3}{5}\cdot\dfrac{3}{7}+\dfrac{3}{5}\cdot\dfrac{4}{7}-1-\dfrac{3}{5}\)
\(=\dfrac{3}{5}-1-\dfrac{3}{5}=-1\)
15\(x\) - 32\(x\) - 6\(x\)
= 15\(x\) - 9\(x\) - 6\(x\)
= 6\(x\) - 6\(x\)
= 0
$2023+10-(2020+2022)-10$
$=(2023-2022)+(10-10)-2020$
$=1-2020=-2019$
\(2023+10-\left(2020+2022\right)-10\)
\(=\left(2023-2022\right)+\left(10-10\right)-2020\)
\(=1+0-2020\)
\(=-2019\)