\(|x^2+2|x-\frac{1}{2}|=x^2+2\) ai nhanh tich luôn
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1.
a) \(\frac{11}{2}-\frac{2}{3}:\left|2x+-\frac{3}{2}\right|=3\)
\(-\frac{2}{3}:\left|2x+-\frac{3}{2}\right|=3-\frac{11}{2}\)
\(-\frac{2}{3}:\left|2x+-\frac{3}{2}\right|=-\frac{5}{2}\)
\(\left|2x+-\frac{3}{2}\right|=-\frac{2}{3}:\left(-\frac{5}{2}\right)\)
\(\left|2x+-\frac{3}{2}\right|=\frac{4}{15}\)
\(\Rightarrow\left|2x+-\frac{3}{2}\right|\in\text{{}\frac{4}{15};-\frac{4}{15}\)}
Nếu, \(2x+\left(-\frac{3}{2}\right)=\frac{4}{15}\)
\(2x=\frac{53}{30}\)
\(x=\frac{53}{60}\)
Nếu, \(2x+\left(-\frac{3}{2}\right)=-\frac{4}{15}\)
\(2x=\frac{37}{30}\)
\(x=\frac{37}{60}\)
Vậy \(x\in\text{{}\frac{53}{60};\frac{37}{60}\)}
b) \(\left|\frac{2}{7}x-\frac{1}{5}\right|-\left|-x+\frac{4}{9}\right|=0\)
\(\left|\frac{2}{7}x-\frac{1}{5}\right|=\left|-x+\frac{4}{9}\right|\)
\(\Rightarrow\left|\frac{2}{7}x-\frac{1}{5}\right|\in\text{{}-x+\frac{4}{9};-\left(x+\frac{4}{9}\right)\)}
Nếu, \(\frac{2}{7}x-\frac{1}{5}=-x+\frac{4}{9}\)
\(x=\frac{203}{405}\)
Nếu, \(\frac{2}{7}x-\frac{1}{5}=-\left(-x+\frac{4}{9}\right)\)
\(\frac{2}{7}x-\frac{1}{5}=x-\frac{4}{9}\)
\(\frac{2}{7}x-x=\frac{1}{5}-\frac{4}{9}\)
\(-\frac{5}{7}x=-\frac{11}{45}\)
\(x=\frac{77}{225}\)
Vậy \(x\in\text{{}\frac{203}{405};\frac{77}{225}\)}
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a) -12. (x-5) + 7. ( 3-x ) = 5
=> -12x + 60 + 21 - 7x = 5
=> -19x = -76
=> x= 4
b) 30. (x+2) -6. (x-5 ) -24x =100
=> 30x + 60 - 6x + 30 -24x = 100
=> 0x = 10 (vô lí )
=> ko có giá trị của x
-12.(x-5)+7.(3-x)=5
(-12).x-(-12).5+7.3-7.x=5
(-12).x-(-60)+21-7.x=5
(-12).x+60+21-7.x=5
(-12).x+(60+21)-7.x=5
(-12).x+81-7.x=5
(-12).x-7.x=5-81
-19.x=-76
x=76:(-19)
x=4
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Ta có: (x+1)+(x+2)+....+(x+100) = 5750
=> (x+x+x+...+x) + (1+2+3+3+.....+100) = 5750
=> 100x + 5050 = 5750
=> 100x = 5750 - 5050 = 700
=> x = 700:100
=> x = 7
Vậy x = 7
=22222
mk nhanh
mk đi
bn có bảo đúng hay sai đâu mk chỉ bt mk nha nhất