0.5*x-2/3=7/12
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Phân tích 3(x-3)(x+3+4)+x^2 - 8x + 16 +48
3(x -3)[(x +3) + 4] + x^2 - 8x +64
3(x -3)(x +3) + 12 (x-3) + x^2 - 8x +64
3(x^2 - 9) + 12x - 36 + x^2 - 8x +64
3X^2 -27 +4x +28 + x^2
4x^2 +4x +1
(2x+1)^2
Thay x = 0,5 vào được (2.0,5 + 1)^2 = 4
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\(a,\frac{3}{35}-\left[\frac{3}{5}+x\right]=\frac{2}{7}\)
\(\Rightarrow\frac{3}{5}+x=\frac{3}{35}-\frac{2}{7}\)
\(\Rightarrow\frac{3}{5}+x=\frac{3}{35}-\frac{2\cdot5}{35}\)
\(\Rightarrow\frac{3}{5}+x=\frac{3}{35}-\frac{10}{35}=\frac{-7}{35}\)
\(\Rightarrow x=\frac{-7}{35}-\frac{3}{5}=\frac{-7}{35}-\frac{3\cdot7}{35}=\frac{-7}{35}-\frac{21}{35}=\frac{-28}{35}=\frac{-4}{5}\)
\(b,\frac{5}{6}+\frac{1}{6}:x=\frac{3}{4}\)
\(\Rightarrow\frac{1}{6}:x=\frac{3}{4}-\frac{5}{6}\)
\(\Rightarrow\frac{1}{6}:x=\frac{18}{24}-\frac{20}{24}\)
\(\Rightarrow\frac{1}{6}:x=\frac{-2}{24}\)
\(\Rightarrow x=\frac{1}{6}:\frac{-2}{24}=\frac{1}{6}:\frac{-1}{12}=\frac{12}{-6}=\frac{-12}{6}=-2\)
\(c,\left|x-3\frac{4}{7}\right|=-0,5\)
Vì \(\left|x-3\frac{4}{7}\right|\ge0\)mà \(-0,5< 0\)nên \(x\in\varnothing\)
Vậy không có giá trị x thỏa mãn
a) 3/35-(3/5+x)=2/7
<=> 3/5+x=3/35-2/7
<=> 3/5+x=3/35-10/35
<=> 3/5+x=-7/35
<=> 3/5+x=-1/5
<=> x=-1/5-3/5
<=> x=-4/5
Vậy x=-4/5
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a) Ta có :
\(\frac{7}{12}< \frac{x}{24}< \frac{2}{3}\)
\(\Rightarrow\frac{14}{24}< \frac{x}{24}< \frac{16}{24}\)
\(\Rightarrow14< x< 16\)
\(\Rightarrow x=15\)
Vậy x = 15
b) \(\left(x+1\right)+\left(x+4\right)+\left(x+7\right)+...+\left(x+28\right)=195\)
\(\Rightarrow\left(x+x+x+...+x\right)+\left(1+4+7+...+28\right)=195\)
\(\Rightarrow10x+145=195\)
\(\Rightarrow10x=195-145\)
\(\Rightarrow10x=50\)
\(\Rightarrow x=50:10\)
\(\Rightarrow x=5\)
Vậy x = 5
c) \(\left(x+0,5\right)+\left(x+1,5\right)+\left(x+2,5\right)=33\)
\(\Rightarrow\left(x+x+x\right)+\left(0,5+1,5+2,5\right)=33\)
\(\Rightarrow3x+4,5=33\)
\(\Rightarrow3x=33-4,5\)
\(\Rightarrow3x=28,5\)
\(\Rightarrow x=28,5:3\)
\(\Rightarrow x=9,5\)
Vậy x = 9,5
_Chúc bạn học tốt_
a, \(\frac{7}{12}\)\(< \)\(\frac{x}{24}\)\(< \)\(\frac{2}{3}\)
\(\frac{14}{24}\)\(< \)\(\frac{x}{24}\)\(< \)\(\frac{16}{24}\)
Số lớn hơn 14 và nỏ hơn 16 là : 15
\(\Rightarrow\)Vậy \(x\)= 15
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3(x-3)(x+7)+(x-4)2+48
=3(x2+7x-3x-21)+(x2-8x+16)+48
=3x2+21x-9x-63+x2-8x+16+48
=3x2+x2+21x-9x-8x-63+16+48
=4x2+4x+64
=4(x2+x+16)
Ta thay x=0,5 vào đa thức :
=4(0,52+0,5+16)
=4.16,75
=67
\(0,5x-\dfrac{2}{3}=\dfrac{7}{12}\)
\(0,5x=\dfrac{7}{12}+\dfrac{2}{3}\)
\(0,5x=\dfrac{5}{4}\)
\(x=\dfrac{5}{2}\)