\(\frac{x-15}{23}+\frac{x-23}{15}-2=0\)
\(\Leftrightarrow\left(\frac{x-15}{23}-1\right)+\left(\frac{x-23}{15}-1\right)=0\)
\(\Leftrightarrow\frac{x-38}{23}+\frac{x-38}{15}=0\)
\(\Leftrightarrow\left(x-38\right)\left(\frac{1}{23}+\frac{1}{15}\right)=0\Rightarrow x-38=0\Leftrightarrow x=38\)
a). \(C=\dfrac{x^4+x^8+x^{12}+x^{16}+x^{20}+x^{24}+x^{28}+1}{x^3+x^7+x^{11}+x^{15}+x^{19}+x^{23}+x^{27}+x^{31}}\)
b). \(F=\dfrac{1}{1.2.3.4}+\dfrac{1}{2.3.4.5}+\dfrac{1}{3.4.5.6}+...+\dfrac{1}{2011.2012.2013.2014}\)
c). \(\dfrac{14044}{12345}=1+\dfrac{1}{7+\dfrac{1}{8+\dfrac{1}{9+\dfrac{1}{x+\dfrac{1}{y}}}}}\)
Tìm các số thực x,y thoả mãn phương trình:
a) \(2x^2+5y^2+8x-10y+13=0\)
b)\(3x^2+5y^2-6x+20y+23=0\)
15-2x-x2=0
15-2x-x2=0
Giải phương trình:\(\dfrac{x-29}{1970}+\dfrac{x-27}{1972}+\dfrac{x-25}{1974}+\dfrac{x-23}{1976}+\dfrac{x-21}{1978}+\dfrac{x-19}{1980}=\dfrac{x-1970}{29}+\dfrac{x-1972}{27}+\dfrac{x-1974}{25}+\dfrac{x-1976}{23}+\dfrac{x-1978}{21}+\dfrac{x-1980}{19}\)
3\(x^3\) - 15\(x^2\)+2x-10 <0
làm phép chia
1) (x^6 - 2x^4 + 6x^3 - 4x^2) : 6x^2
2) (-2x^5 = 3x^2 - 4x^3) : 2x^2
3) (15x^3 - 10x^2 + x - 2) : (x - 2)
4) (2x^4 -3x^3 - 3x^2 + 6x - 2) : (x^2 - 2)
Giải phương trình
a. 2x+6=0
b.4x+20=0
c. 2(x+1)=5x - 7
d. 2x-3=0
e.3x-1=2x_5
f.15-7x=9-3x
g. x-3=18
h. 2x+1=15-5x
i.3x-2=2x+5
k.-4x+8=0
l. 2x+3=0
m. 4x+5=3x
Giải bất phương trình : 3\(x^3\) - 15\(x^2\)+2x-10 <0