Có: \(\left(2018^{2018}+2017^{2018}\right)^{2017}< \left(2018^{2017}.2018+2017^{2017}.2018\right)^{2017}\)
\(=\left(2018^{2017}+2017^{2017}\right)^{2017}.2018^{2017}< \left(2018^{2017}+2017^{2017}\right)^{2017}.\left(2018^{2017}+2017^{2017}\right)\)
\(=\left(2018^{2017}+2017^{2017}\right)^{2018}\)
Giải phương trình: \(\frac{\left(2017-x\right)^2+\left(2017-x\right)\left(x-2018\right)+\left(x-2018^2\right)}{\left(2017-x\right)^2-\left(2107-x\right)\left(x-2018\right)+\left(x-2018\right)^2}=\frac{13}{37}\)
Đây là đề thi hoc sinh giỏi lớp 9 cấp tỉnh Phú yên năm 2018-2019
Gpt: \(\left|x-2017\right|^{2018}+\left|x-2018\right|^{1009}=1\)
cho x,y,z thỏa mãn \(\left(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\right):\left(\frac{1}{x+y+z}\right)=1\)
tìm B=\(\left(x^{2016}+y^{2016}\right)\left(y^{2017}+z^{2017}\right)\left(z^{2018}+x^{2018}\right)\)
Chứng minh rằng
a) Với mọi số nguyên dương n có \(\frac{1}{2}+\frac{1}{3\sqrt{2}}+..+\frac{1}{\left(n+1\right)\sqrt{n}}< 2\)
b) \(\frac{2017}{\sqrt{2018}}+\frac{2018}{\sqrt{2017}}< \sqrt{2017}+\sqrt{2018}\)
Hộ mình vs
\(\frac{1+2017\sqrt{2018}\:-2018\sqrt{2017}}{\sqrt{2017\:\:}+\sqrt{2018}+\sqrt{2017}\cdot\sqrt{2018}}=\sqrt{2017.2018\:}\)
Cho a,b,c thỏa mãn\(\frac{2}{\left(x^2+1\right)\left(x-1\right)}=\frac{ax+b}{x^2+1}+\frac{c}{x-1}\) .
Tính M=\(\frac{a^{2017}+b^{2018}+c^{2918}}{a^{2017}b^{2018}c^{2019}}\)
cho a=4+\(\sqrt{5}\) va b=4-\(\sqrt{5}\) tinh gia tri cua bieu thuc
A=\(\left(a^{2019}-8a^{2018}+11a^{2017}\right)\)+\(\left(b^{2019}-8b^{2018}+11b^{2017}\right)\)
\(\frac{\left(x_1-x_2\right)^{2017}+2017x_1x_2}{\left(x_1-x_2\right)^{2018}+2018x_1x_2}\)
cmr B là số hữu tỉ \(B=\sqrt{1+2017^2+\frac{2017^2}{2018^2}}+\frac{2017}{2018}\)
