(x^2-1)(x^2-11)(x^2-21)(x^2-31)=-4924
(x^2-1)(x^2-11)(x^2-21)(x^2-31)=-4924
\(\left(x^2-1\right)\left(x^2-11\right)\left(x^2-21\right)\left(x^2-31\right)=-4224\)
tìm nghiệm nguyên của phương trình:
(x2-1)(x2-11)(x2-21)(x2-31)=-4224
Thực hiện phép tính:
A) 7/38 x 9/11 +7/38 x 4/11 -7/38 x 2/11
B) 5/31 x 21/25 + 5/31 x -7/10 - 5/31 x 9/20
C) ( -2/3 + 3/7 ) : 4/5 + (-1/3 + 4/7 ) : 4/5
D) 5/9 : ( 1/11 -5/22 ) + 5/9 : ( 1/15 - 2/3 )
E) 3/14 : 1/28 -13/21 : 1/28 + 29/42 : 1/28 - 8
F) ( -40/51 x 0,32 x17/20) : 64/75
Đây là dấu x ( là nhân ) mọi người nhé
mong mn giúp em ạ
A) 7/38 x 9/11 +7/38 x 4/11 -7/38 x 2/11
=7/38.(9/11+4/11-2/11)
=7/38
B) 5/31 x 21/25 + 5/31 x -7/10 - 5/31 x 9/20
=5/31.(21/25-7/10-9/20)
=5/31.(-31/100)
=-1/20
X/17 x (1/2 + 1/3)=31/51
9/5 : x - 11/7= 32/21
à mà có phải í bn là: x/17 x (1,2 + 1/3) = 31/51
Trong không gian Oxyz, cho hai đường thẳng △ 1 : x - 1 - 2 = y + 2 1 = z - 3 2 và △ 2 : x + 3 1 = y - 1 1 = z + 2 - 4 . Góc giữa hai đường thẳng △ 1 , △ 2 bằng
A. 30 °
B. 45 °
C. 60 °
D. 135 °
1)tim x bit a)(1/2-1/3).6^x+6^x+2=6^15+6^18
b)3^x+3^x+2=2430
c)(2x-15)^5=(2x-15)^3
2) so saanh
a)2^11 va 5^35
b)2^31 va 3^21
c)2^15 va 27^5.49^8 d)21^15 va 27^5.49^8
1)tim x bit a)(1/2-1/3).6^x+6^x+2=6^15+6^18
b)3^x+3^x+2=2430
c)(2x-15)^5=(2x-15)^3
2) so saanh a)2^11 va 5^35
b)2^31 va 3^21
c)2^15 va 27^5.49^8 d)21^15 va 27^5.49^8
1.
b) \(3^x+3^{x+2}=2430\)
\(\Rightarrow3^x.1+3^x.3^2=2430\)
\(\Rightarrow3^x.\left(1+3^2\right)=2430\)
\(\Rightarrow3^x.10=2430\)
\(\Rightarrow3^x=2430:10\)
\(\Rightarrow3^x=243\)
\(\Rightarrow3^x=3^5\)
\(\Rightarrow x=5\)
Vậy \(x=5.\)
c) \(\left(2x-15\right)^5=\left(2x-15\right)^3\)
\(\Rightarrow\left(2x-15\right)^5-\left(2x-15\right)^3=0\)
\(\Rightarrow\left(2x-15\right)^3.\left[\left(2x-15\right)^2-1\right]=0\)
\(\Rightarrow\left[{}\begin{matrix}\left(2x-15\right)^3=0\\\left(2x-15\right)^2-1=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x-15=0\\\left(2x-15\right)^2=1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x=15\\2x-15=\pm1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=15:2\\2x-15=1\\2x-15=-1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{15}{2}\\2x=16\\2x=14\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{15}{2}\\x=8\\x=7\end{matrix}\right.\)
Vậy \(x\in\left\{\frac{15}{2};8;7\right\}.\)
Chúc bạn học tốt!
x : 1/2 + x :1/3 + x = 42 ; x x 4/7 + x x 2/3 + x x 3/7 = 11/5 ; ( 31/5 - x ) : 2/3 = 7/6 ; 4/3 + ( x - 3/5 ) = 21/2
\(\frac{x}{\frac{1}{2}}+\frac{x}{\frac{1}{3}}+x=42\)
\(\Rightarrow\frac{x}{\frac{3}{6}}+\frac{x}{\frac{2}{6}}+\frac{x}{\frac{6}{6}}=42\)
\(\Rightarrow\frac{x}{\frac{3}{6}+\frac{2}{6}+\frac{6}{6}}=42\)
\(\Rightarrow\frac{x}{\frac{11}{6}}=42\)
\(\Rightarrow x=77\)
\(x.\frac{4}{7}+x.\frac{2}{3}+x.\frac{3}{7}=\frac{11}{5}\)
\(\Rightarrow x.\left(\frac{4}{7}+\frac{3}{7}+\frac{2}{3}\right)=\frac{11}{5}\)
\(\Rightarrow x.\frac{5}{3}=\frac{11}{5}\)
\(\Rightarrow x=\frac{33}{25}\)
\(\left(\frac{31}{5}-x\right):\frac{2}{3}=\frac{7}{6}\)
\(\Rightarrow\frac{31}{5}-x=\frac{7}{9}\)
\(\Rightarrow x=\frac{244}{45}\)
\(\frac{4}{3}+\left(x-\frac{3}{5}\right)=\frac{21}{2}\)
\(\Rightarrow\frac{4}{3}+x-\frac{3}{5}=\frac{21}{2}\)
\(\Rightarrow x+\frac{11}{5}=\frac{21}{2}\)
\(\Rightarrow x=\frac{83}{10}=8,3\)