Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(2x^7=3x^9\\ \Rightarrow\dfrac{x^7}{x^9}=\dfrac{3}{2}\\ \Leftrightarrow\dfrac{1}{x^2}=\dfrac{3}{2}\\ \Leftrightarrow3x^2=2\\ \Rightarrow x^2=\dfrac{2}{3}\\ \Rightarrow x=\pm\sqrt{\dfrac{2}{3}}\)
`2x^7 =3x^9`
`2x^7 -3x^9 =0`
`x^7 (2-3x^2)=0`
`=>x^7=0` hoặc `2-3x^2 =0`
`=>x=0` hoặc `3x^2 =2`
`=>x=0` hoặc \(x=\sqrt{\dfrac{2}{3}}\) hoặc \(x=-\sqrt{\dfrac{2}{3}}\)
\(\left(\dfrac{1}{3}\right)^2\cdot\dfrac{1}{3\cdot9^2}=\dfrac{1}{9\cdot3\cdot9^2}=\dfrac{1}{3^7}\)
\(\dfrac{10^9\cdot81^{10}}{8^4\cdot25^3\cdot9^{10}}=\dfrac{2^9\cdot5^9\cdot3^{40}}{2^{12}\cdot5^6\cdot3^{20}}=\dfrac{5^3\cdot3^{20}}{2^3}\)
g(x) = -5 + 3x⁹ - 2x + 3x² + x⁶ + 2x - 3x³ - 3x²
= -5 + (-2x + 2x) + (3x² - 3x²) - 3x³ + x⁶ + 3x⁹
= -5 - 3x³ + x⁶ + 3x⁹
x – x9 + x2 – 5x3 + x6 – x + 3x9 + 2x6 – x3 + 7
= (x – x) + (-x9 + 3x9) + x2 – (5x3 + x3) + (x6 + 2x6) + 7.
= 2x9 + x2 – 6x3 + 3x6 + 7
Sắp xếp: 2x9 + 3x6 – 6x3 + x2 + 7
B=9x10-12x7+6x4+3x+10
B=3x(3x9-4x6+2x3+1)+10
Thay 3x9-4x6+2x3+1=0 vào biểu thức B ta có:
B=3.x.0+10=10
\(=\dfrac{-8}{27}\cdot81+\dfrac{9}{16}\cdot32\)
=-24+18
=-6
\(A=\frac{1}{3}+\frac{1}{3+6}+\frac{1}{3+6+9}+...+\frac{1}{3+6+9+...+2013}\)
\(A=\frac{1}{3}.\left(1+\frac{1}{1+2}+\frac{1}{1+2+3}+...+\frac{1}{1+2+3+...671}\right)\)
\(A=\frac{1}{3}.\left(\frac{1}{\left(1+0\right).2:2}+\frac{1}{\left(1+2\right).2:2}+\frac{1}{\left(1+3\right).3:2}+...+\frac{1}{\left(1+671\right).671:2}\right)\)
\(A=\frac{1}{3}.\left(\frac{2}{1.2}+\frac{2}{2.3}+\frac{2}{3.4}+...+\frac{2}{671.672}\right)\)
\(A=\frac{1}{3}.2.\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{671.672}\right)\)
\(A=\frac{2}{3}.\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{671}-\frac{1}{672}\right)\)
\(A=\frac{2}{3}.\left(1-\frac{1}{672}\right)\)
\(A=\frac{2}{3}.\frac{671}{672}=\frac{671}{1008}\)
A=6+9:3.9
A=6+3.9
A=6+27
A=33