(x-14) : 2 = 3
1) Cho đa thức \(f\left(x\right)=x^{14}-14.x^{13}+14.x^{12}-...+13.x^2-14.x+14\) Tính f(13)
2) Tính : \(\left(\dfrac{3}{4}-81\right)\left(\dfrac{3^2}{5}-81\right)\left(\dfrac{3^3}{6}-81\right)...\left(\dfrac{3^{2000}}{2003}-81\right)\)
Bài 2:
x=13 nên x+1=14
\(f\left(x\right)=x^{14}-x^{13}\left(x+1\right)+x^{12}\left(x+1\right)-...+x^2\left(x+1\right)-x\left(x+1\right)+14\)
\(=x^{14}-x^{14}-x^{13}+x^{13}-...+x^3+x^2-x^2-x+14\)
=14-x=1
x=13 nên x+1=14
f(x)=x14−x13(x+1)+x12(x+1)−...+x2(x+1)−x(x+1)+14f(x)=x14−x13(x+1)+x12(x+1)−...+x2(x+1)−x(x+1)+14
=x14−x14−x13+x13−...+x3+x2−x2−x+14=x14−x14−x13+x13−...+x3+x2−x2−x+14
=14-x=1
| 7 - 3/4 . x | - 3/2 = 1/1/2
5 - | x - 3 | = 5
| 7/2 - 42 | + 14 = 14
2/3 - | x + 2 | = 2
5/6 . | 3 - x | + 4 = 2
Giải giúp mình với
|7 - \(\dfrac{3}{4}\)\(x\)| - \(\dfrac{3}{2}\) = \(\dfrac{1}{\dfrac{1}{2}}\)
|7 - \(\dfrac{3}{4}x\)| - \(\dfrac{3}{2}\) = 2
|7 - \(\dfrac{3}{4}\)\(x\)| = 2 + \(\dfrac{3}{2}\)
|7 - \(\dfrac{3}{4}x\)| = \(\dfrac{7}{2}\)
\(\left[{}\begin{matrix}7-\dfrac{3}{4}x=\dfrac{7}{2}\\7-\dfrac{3}{4}x=-\dfrac{7}{2}\end{matrix}\right.\)
\(\left[{}\begin{matrix}\dfrac{3}{4}x=7-\dfrac{7}{2}\\\dfrac{3}{4}=7+\dfrac{7}{2}\end{matrix}\right.\)
\(\left[{}\begin{matrix}\dfrac{3}{4}x=\dfrac{7}{2}\\\dfrac{3}{4}x=\dfrac{21}{2}\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=\dfrac{14}{3}\\x=14\end{matrix}\right.\)
5 - |\(x-3\)| = 5
|\(x-3\)| = 5 - 5
|\(x-3\)| = 0
\(x-3\) = 0
\(x\) = 3
|\(\dfrac{7}{2}\) - 42| + 14 = 14 ( vô lý xem lại đề bài nhé em)
\(\dfrac{2}{3}\) - |\(x+2\)| = 2
|\(x+2\)| = \(\dfrac{2}{3}\) - 2
|\(x+2\)| = - \(\dfrac{4}{3}\)
|\(x+2\)| ≥ 0 ∀ \(x\)
Vậy \(x\in\) \(\varnothing\)
\(\frac{1}{2}\cdot\frac{18}{14}+\frac{1}{2}\cdot\frac{3}{14}-\frac{1}{2}\cdot\frac{7}{14}\)
\(=\frac{1}{2}\left(\frac{18}{14}+\frac{3}{14}-\frac{7}{14}\right)\)
\(=\frac{1}{2}\cdot1=\frac{1}{2}\)
x + (x+1) + (x+2) + (x+3) + .... + 13 + 14 = 14
25 + 24 + 23 +...+ x + (x - 2) + (x – 3) = 25
Tìm x, biết: x + 2/7=1/2
A.x= 3/14 B. x=2/14 C. x=13/3 D. x=1/5.
X+\(\dfrac{2}{7}\)=\(\dfrac{1}{2}\)
X = \(\dfrac{1}{2}\)-\(\dfrac{2}{7}\)
X = \(\dfrac{3}{14}\)
Chọn đáp án A. \(\dfrac{3}{14}\)
[( 3^14 x 69 + 3^14 x 12 ) : 3^16 -7] : 2^4
\(\left[\left(3^{14}\times69+3^{14}\times12\right):3^{16}-7\right]:2^4\)
\(=\left[3^{14}\left(69+12\right):3^{16}-7\right]:2^4\)
\(=\left[3^{14}.81:3^{16}-7\right]:2^4\)
\(=\left[3^{14}.3^4:3^{16}-7\right]:2^4\)
\(=\left[3^2-7\right]:2^4\)
\(=2:2^4\)
\(=\dfrac{2}{16}=\dfrac{1}{8}\)
\(\left[\left(3^{14}.69+3^{14}.12\right):3^{16}-7\right]:2^4\\ =\left[3^{14}.\left(69+12\right):3^{16}-7\right]:2^4\\ =\left[3^{14}.81:3^{16}-7\right]:2^4\\ =\left[3^{14}.3^4:3^{16}-7\right]:2^4\\ =\left(3^2-7\right):2^4=2:2^4=\dfrac{1}{2^3}=\dfrac{1}{8}\)
\(=\left(\dfrac{3^{14}\cdot\left(69+12\right)}{3^{16}}-7\right):2^4\)
=(3^2-7):2^4
=2:2^4=1/8
A. 2/5 + 3/5 : 3/10 x 1/2
B.5/6 - 2/3 x 13/14 + 1/14
a: \(=\dfrac{2}{5}+\dfrac{3}{5}\cdot\dfrac{10}{3}\cdot\dfrac{1}{2}=\dfrac{2}{5}+\dfrac{10}{5}\cdot\dfrac{1}{2}=\dfrac{2}{5}+1=\dfrac{7}{5}\)
[(32x + 24 x 3) - 14] : 14 = 5
Biết \(x,y,z\) là các số thực dương. Tìm GTNN \(M=\dfrac{x^{14}-x^6+3}{x^2y^2+zx+zy}+\dfrac{y^{14}-y^6+3}{y^2z^2+xy+xz}+\dfrac{z^{14}-z^6+3}{z^2x^2+yz+yx}\)