\(\dfrac{450}{x+30}\)-\(\dfrac{450}{x}\)=4
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LG
9 tháng 7 2017
a) \(\dfrac{5}{7}-1\dfrac{4}{7}\left(450\%+\dfrac{2}{3}x\right)=\dfrac{-1}{14}\)
\(\dfrac{5}{7}-\dfrac{11}{7}\left(\dfrac{9}{2}+\dfrac{2}{3}x\right)=\dfrac{-1}{14}\)
\(\dfrac{11}{7}\left(\dfrac{9}{2}+\dfrac{2}{3}x\right)=\dfrac{5}{7}+\dfrac{1}{14}\)
\(\dfrac{11}{7}\left(\dfrac{9}{2}+\dfrac{2}{3}x\right)=\dfrac{11}{14}\)
\(\dfrac{9}{2}+\dfrac{2}{3}x=\dfrac{11}{14}:\dfrac{11}{7}=\dfrac{11}{14}.\dfrac{7}{11}\)
\(\dfrac{9}{2}+\dfrac{2}{3}x=\dfrac{1}{2}\)
\(\dfrac{2}{3}x=\dfrac{1}{2}-\dfrac{9}{2}=-4\)
\(x=-4:\dfrac{2}{3}=-4.\dfrac{3}{2}=-6\)
Vậy x = \(-6\)
LG
9 tháng 7 2017
b) \(100=6.7^{\left|x+2\right|}-194\)
\(100+194=6.7^{\left|x+2\right|}\)
\(294=6.7^{\left|x+2\right|}\)
\(294:6=49=7^{\left|x+2\right|}\)
\(\Rightarrow7^2=7^{\left|x+2\right|}\)
\(\Rightarrow2=\left|x+2\right|\Rightarrow\pm2=x+2\)
+ x + 2 = -2 \(\Rightarrow\) x = - 4
+ x + 2 = 2 \(\Rightarrow\) x = 0
Vậy x = - 4 hoặc 0
TL
Rút gọn phân số: \(\dfrac{-270}{450}\);\(\dfrac{11}{-143}\);\(\dfrac{32}{12}\);\(\dfrac{-26}{-156}\)
1
17 tháng 12 2021
\(\dfrac{-270}{450}=\dfrac{-9}{15}\)
\(\dfrac{11}{-143}=\dfrac{1}{-13}\)
\(\dfrac{32}{12}=\dfrac{8}{3}\)
\(\dfrac{-26}{-156}=\dfrac{1}{6}\)
CM
26 tháng 3 2018
a) 450 – ( 25 – 10) = 450 – 15
= 435
450 – 25 – 10 = 425 – 10
= 415
b) 180 : 6 : 2 = 30 : 6
= 15
180 : ( 6 : 2 ) = 180 : 3
= 60
c) 410 – (50 +30) = 410 -80
= 330
410 - 50 + 30 = 360 + 30
= 390
d) 16 x (6 : 3) = 16 x 2
= 32
16 x 6 : 3 = 96 : 3
= 32
28 tháng 10 2023
1:
a: \(\sqrt{36}-\sqrt{100}=6-10=-4\)
b: Để \(\sqrt{\dfrac{2}{2x-1}}\) có nghĩa thì \(\dfrac{2}{2x-1}>=0\)
=>2x-1>0
=>x>1/2
2:
a: \(A=\dfrac{\left(15\sqrt{180}-5\sqrt{200}-3\sqrt{450}\right)}{\sqrt{10}}\)
\(=15\sqrt{\dfrac{180}{10}}-5\sqrt{\dfrac{200}{10}}-3\sqrt{\dfrac{450}{10}}\)
\(=15\sqrt{18}-5\sqrt{20}-3\sqrt{45}\)
\(=45\sqrt{2}-10\sqrt{5}-9\sqrt{5}\)
\(=45\sqrt{2}-19\sqrt{5}\)
b: \(B=\sqrt{32}-\sqrt{50}-16\sqrt{\dfrac{1}{8}}\)
\(=4\sqrt{2}-5\sqrt{2}-\dfrac{16}{\sqrt{8}}\)
\(=-\sqrt{2}-2\sqrt{8}=-\sqrt{2}-4\sqrt{2}=-5\sqrt{2}\)
\(\dfrac{450}{x+30}-\dfrac{450}{x}=4\left(đk:x\ne0,x\ne-30\right)\)
\(\Leftrightarrow\dfrac{450x-450x-13500}{x\left(x+30\right)}=4\)
\(\Leftrightarrow\dfrac{-13500}{x\left(x+30\right)}=4\)
\(\Leftrightarrow4x^2+120x=-13500\)
\(\Leftrightarrow4\left(x+15\right)^2=-12600\)
\(\Leftrightarrow\left(x+15\right)^2=-3150\)(vô lý)
Vậy \(x\in\varnothing\)
\(\dfrac{450}{x+30}-\dfrac{450}{x}=4\)
<=> \(\dfrac{450x}{x\left(x+30\right)}-\dfrac{450\left(x+30\right)}{x\left(x+30\right)}=\dfrac{4x\left(x+30\right)}{x\left(x+30\right)}\)
<=> 450x - 450(x + 30) = 4x(x + 30)
<=> 450x - 450x - 480 = 4x2 + 120x
<=> 4x2 - 120x - 480 = 0
<=> x = 33, 57