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a) \(\left(\frac{2}{5}x-2\right)-\left(\frac{3}{2}x+1\right)-\left(-4x-\frac{4}{5}\right)=\)\(\frac{18}{5}\)
\(\frac{2}{5}x-2-\frac{3}{2}x-1-4x+\frac{4}{5}=\frac{18}{5}\)
\(\frac{2}{5}x-\frac{3}{2}x-4x=\frac{18}{5}+2+1-\frac{4}{5}\)
\(\frac{8}{20}x-\frac{30}{20}x-\frac{80}{20}x=\frac{14}{5}+3\)
\(\frac{-51}{10}x=\frac{14}{5}+\frac{15}{5}\)
\(\frac{-51}{10}x=\frac{29}{5}\)
\(x=\frac{29}{5}.\frac{-10}{51}\)
\(x=\frac{-58}{51}\)
vậy \(x=\frac{-58}{51}\)
\(\left(0,4x-2\right)-\left(1,5x+1\right)\) \(\left(-4x-0,8\right)\)\(=3,6\)
<=>\(\left(0,4x-2\right)-\)\(\left(-6x^2-1,2x-4x-0,8\right)\)\(=3,6\)
<=> \(0,4x-2+6x^2+1,2x\)\(+4x+0,8=3,6\)
<=> \(6x^2+5,6x-1,2=3,6\)
<=> \(6x^2+5,6x-4,8=0\)
<=>
1a) (0,4x - 2) - (1,5x + 1) - (-4x - 0,8) = 3,6
=> 0,4x - 2 - 1,5x - 1 + 4x + 0,8 = 3,6
=> 0,4x - 1,5x + 4x - 2 - 1 + 0,8 = 3,6
=> 2,9x - 2,2 = 3,6
=> 2,9x = 3,6 + 2,2
=> 2,9x = 5,8
=> x = 2
b)\(\left(\dfrac{3}{4}x+5\right)-\left(\dfrac{2}{3}x-4\right)-\left(\dfrac{1}{6}x+1\right)=\left(\dfrac{1}{3}x+4\right)-\left(\dfrac{1}{3}x-3\right)\)
\(\Rightarrow\dfrac{3}{4}x+5-\dfrac{2}{3}x+4-\dfrac{1}{6}x-1=\dfrac{1}{3}x+4-\dfrac{1}{3}x+3\)
\(\Rightarrow\left(\dfrac{3}{4}x-\dfrac{2}{3}x-\dfrac{1}{6}x\right)+\left(5+4-1\right)=7\)
\(\Rightarrow-\dfrac{1}{12}x+8=7\)
\(\Rightarrow-\dfrac{1}{12}x=-1\)
\(\Rightarrow x=12\)
Áp dụng tính chất dãy tỉ số bằng nhau, ta có:
\(\frac{3x+2}{4}=\frac{2y+2}{5}=\frac{3x+2y+4}{4,5x}=\frac{3x+2+2y+2}{4+5}=\frac{3x+2y+4}{9}\)
\(\Rightarrow4,5x=9\Rightarrow x=2\)
Mà \(\frac{3x+2}{4}=\frac{2y+2}{5}\)
\(\Rightarrow\frac{3.2+2}{4}=\frac{2y+2}{5}\Rightarrow\frac{2y+2}{5}=2\Rightarrow2y+2=10\Rightarrow y=4\)
Ta có: \(N\left(x\right)=x^3-2,5x^2-4,5x+11\)
\(N\left(x\right)=x^3-\left(2x^2+0,5x^2\right)-\left(-1x+5,5x\right)+11\)
\(N\left(x\right)=x^3-2x^2-0,5x^2+1x-5,5x+11\)
\(N\left(x\right)=\left(x^3-2x^2\right)-\left(0,5x^2-1x\right)-\left(5,5x-11\right)\)
\(N\left(x\right)=x^2\left(x-2\right)-0,5x\left(x-2\right)-5,5\left(x-2\right)\)
\(N\left(x\right)=\left(x^2-0,5x-5,5\right)\left(x-2\right)\)
Cho \(N\left(x\right)=0\) \(\Rightarrow\) \(\left(x^2-0,5x-5,5\right)\left(x-2\right)=0\)
\(\Rightarrow\) \(x^2-0,5x-5,5=0\) hoặc \(x-2=0\)
\(x=2\)
Vậy 1 nghiệm của đa thức N(x) là 2
-0.6x-4.5x-1+4x+0.8=3.6
x(-0.6-4.5+4)+(-1+0.8)=3.6
-0.1x-0.2 =3.6
-0.1x =3.6+0.2
-0.1x =3.8
x =3.8/(-0.1)
x =-38