Tìm x biết :
\(3:2\frac{1}{4}=\frac{3}{4}:\left(6x\right)\)
Tìm x
2\(\left(\frac{1}{4}x-3\right)-\frac{5}{6}\left(6x-\frac{3}{5}\right)=-2\)
\(2\left(\frac{1}{4}x-3\right)-\frac{5}{6}\left(6x-\frac{3}{5}\right)=-2\)
\(\frac{1}{2}x-6-5x+\frac{1}{2}=-2\)
\(\frac{1}{2}x-5x-6+\frac{1}{2}=-2\)
\(-\frac{9}{2}x-\frac{11}{2}=-2\)
\(-\frac{9}{2}x=\frac{7}{2}\)
\(x=\frac{7}{2}:\left(-\frac{9}{2}\right)\)
\(x=-\frac{7}{9}\)
\(2\left(\frac{1}{4}x-3\right)-\frac{5}{6}\left(6x-\frac{3}{5}\right)=-2\)
Tìm x
\(2.\left(\frac{1}{4}.x-3\right)-\frac{5}{6}.\left(6.x-\frac{3}{5}\right)=-2\)
<=>\(\frac{2}{4}.x-6-\frac{30}{6}.x+\frac{15}{30}=-2\)
<=>\(\frac{1}{2}.x-6-5.x+\frac{1}{2}=-2\)
<=>\(-4,5.x=-2-\frac{1}{2}+6\)
<=>\(-4,5.x=\frac{7}{2}\)
bài này mới làm đúng nhé. bài trên mình tính sai ạ.
<=>\(x=\frac{-7}{9}\)
Nhân phân phối -> rút gọn -> chuyển x 1 bên, số 1 bên
\(2.\left(\frac{1}{4}.x-3\right)-\frac{5}{6}.\left(6.x-\frac{3}{5}\right)=-2\)
<=>\(\frac{2}{4}.x-6-\frac{30}{6}.x+\frac{15}{30}=-2\)
<=>\(\frac{1}{2}.x-6-5.x+\frac{1}{2}=-2\)
<=>\(x.\left(\frac{1}{2}-5\right)-\frac{13}{2}=-2\)
<=>\(-4,5.x=-2+\frac{13}{2}\)
<=>\(-4,5x=\frac{9}{2}\)
<=> \(x=-1\)
vậy \(x=-1\)
Rút gọn biểu thức:
\(\frac{1}{2}x^2.\left(6x-3\right)-x.\left(x^2+\frac{1}{2}\right)+\frac{1}{2}.\left(x+4\right)\)
Tìm x, biết:
\(2x.\left(x-5\right)-x\left(3+2x\right)=26\)
\(3x^3-\frac{3}{2}x^2-x^3-\frac{1}{2}x+\frac{1}{2}x+2=2x^3-\frac{3}{2}x^2+2\)
\(2x^2-10x-3x-2x^2=26\)
-13x=26
x=-2
Rút gọn biểu thức:
\(\frac{1}{2}x^2.\left(6x-3\right)-x\left(x^2+\frac{1}{2}\right)+\frac{1}{2}\left(x+4\right)\)
Tìm x, biết:
\(2x.\left(x-5\right)-x\left(3+2x\right)=26\)
Giải các phương trình sau :
\(a,6x^2-5x+3=2x-3x\left(3-2x\right)\)
\(b,\frac{2\left(x-4\right)}{4}-\frac{3+2x}{10}=x+\frac{1-x}{5}\)
\(c,\frac{2x}{3}+\frac{3x-5}{4}=\frac{3\left(2x-1\right)}{2}-\frac{7}{6}\)
\(d,\frac{6x+5}{2}-\frac{10x+3}{4}=2x+\frac{2x+1}{2}\)
\(e,\left(x-4\right)\left(x+4\right)-2\left(3x-2\right)=\left(x-4\right)^2\)
a) <=> \(6x^2-5x+3-2x+3x\left(3-2x\right)=0\)
<=> \(6x^2-5x+3-2x+9x-6x^2=0\)
<=> \(2x+3=0\)
<=> \(x=\frac{-3}{2}\)
b) <=> \(10\left(x-4\right)-2\left(3+2x\right)=20x+4\left(1-x\right)\)
<=> \(10x-40-6-4x=20x+4-4x\)
<=> \(6x-46-16x-4=0\)
<=> \(-10x-50=0\)
<=> \(-10\left(x+5\right)=0\)
<=> \(x+5=0\)
<=> \(x=-5\)
c) <=> \(8x+3\left(3x-5\right)=18\left(2x-1\right)-14\)
<=> \(8x+9x-15=36x-18-14\)
<=> \(8x+9x-36x=+15-18-14\)
<=> \(-19x=-14\)
<=> \(x=\frac{14}{19}\)
d) <=>\(2\left(6x+5\right)-10x-3=8x+2\left(2x+1\right)\)
<=> \(12x+10-10x-3=8x+4x+2\)
<=> \(2x-7=12x+2\)
<=> \(2x-12x=7+2\)
<=> \(-10x=9\)
<=> \(x=\frac{-9}{10}\)
e) <=> \(x^2-16-6x+4=\left(x-4\right)^2\)
<=> \(x^2-6x-12-\left(x-4^2\right)=0\)
<=> \(x^2-6x-12-\left(x^2-8x+16\right)=0\)
<=> \(x^2-6x-12-x^2+8x-16=0\)
<=> \(2x-28=0\)
<=> \(2\left(x-14\right)=0\)
<=> x-14=0
<=> x=14
Luffy , cậu sai câu c nhé , kia là -17 ạ => x=17/19
biết kết quả phép chia
\(\left(\frac{1}{2}x^4+\frac{7}{2}x^3+\frac{47}{4}x^2+17x-3\right):\left(2x^2+6x-1\right)=\frac{1}{4}x^2+x+a\)
Vậy a = ?
Q= \(\left(x^3-1-\frac{7-x^3}{3+x^3}\right).\frac{4}{x^5+3x^2}:\left(\frac{6x^4-24}{x^9+6x^6+9x^3}.\frac{2x}{3x^3+6}\right)\)
Tìm x thuộc Z, biết:
\(\frac{4}{3}.\left(\frac{1}{6}-\frac{1}{2}\right)
\(\frac{4}{3}.\left(\frac{1}{6}-\frac{1}{2}\right)=\frac{4}{3}.\frac{-1}{3}=\frac{-4}{9}\)
k nha
\(\frac{4}{3}.\left(\frac{1}{6}-\frac{1}{2}\right)\)
\(=\frac{4}{3}.\left(\frac{1}{6}-\frac{3}{6}\right)\)
\(=\frac{4}{3}.\frac{-2}{6}\)
\(=\frac{4}{3}.\frac{-1}{3}\)
\(=\frac{-4}{9}\)
Cho biểu thức \(M=\left(1-\frac{6-2x^3}{x^6-9}\right).\frac{4}{x^5+3x^2}:\left(\frac{6x^6-24}{x^9+6x^6+9x^3}:\left(\frac{3x^2}{2}+\frac{3}{x}\right)\right)\)
a/ Rút gọn M
b/ Tìm các giá trị nguyên của x để M đạt GTLN. Tìm GTLN đó