1) Cho bieu thuc A=\(3+\frac{2}{x-1}\). Tinh gia tri cua bieu thuc A khi |2x-3|=1
2) Rut gon bieu thuc B=\(\frac{x}{x-1}\)-\(\frac{x-5}{x+1}\)-\(\frac{3-x}{1-x^2}\)
3) Tim cac gia tri nguyen cua x de bieu thuc \(\frac{B}{A}\)co gia tri nguyen duong
Cho bieu thuc \(A=\left(\frac{x+1}{x-1}-\frac{x-1}{x+1}+\frac{x^2-4x-1}{x^2-1}\right).\frac{x+2016}{x}\)
a, Voi gia tri nguyen nao cua x thi bieu thuc A co gia tri nguyen
b,Voi gia tri nao cua x thi A co gia tri duong
tinh gia tri bieu thuc a = \(\sqrt{4+\sqrt[3]{8+\frac{2}{3}+3^{10}\frac{1}{1\times2}+\frac{1}{2\times3}+...+\frac{1}{99\times100}}}\)
cau 1: tinh gia tri cua x thoa man
\(\left(x-3\right)\left(x^2+3x+9\right)+x\left(x+2\sqrt{2}\right)\left(2\sqrt{2}-x\right)=-3\)
cau 2.tinh GTLN cua bieu thuc
\(2x-2x^2+13\)
cau 3. tinh gia tri cua bieu thuc
\(\frac{3^{\left(x+y\right)^2}}{3^{\left(x-y\right)^2}}\)voi xy=\(\frac{1}{2}\)
cau 4. tim GTLN cua
\(-3x^2-6x-4\)
cau 5. cho ham so : f(x)=\(\frac{1}{5x+9}\)
tinh gia tri cua \(f\left(\frac{40}{25}\right)\)
cau 6. cho hinh thang can ABCD . Day nho AB,goc D bang 64 do. tinh so do goc ngoai tai A
tinh gia tri cua bieu thuc:
\(y=\frac{x+y}{z}+\frac{x+z}{y}+\frac{y+z}{x}\)neu \(\frac{1}{x}+\frac{1}{z}+\frac{1}{y}=0\)
1.cho bieu thuc A=\(\left(\frac{2}{x-2}+\frac{1}{x+2}\right):\frac{1}{x+2}\)
a.rút gọn bieu thuc A
b.tinh gia tri cua A tại x,biet x=1
2.tim x nguyen de gia tri cua bieu thuc A nguyen
a.\(A=\frac{3}{x+2}\)
b.\(A=\frac{x+3}{x-2}\)
1.cho phan thuc P=\(\frac{5x-4y}{5x+4y}\)voi 25x2+16y2=50xy.khi do gia tri cua bieu thuc P=\(\frac{1+P^2}{1-P^2}\)la
2.gia tri lon nhat cua bieu thuc B=\(\frac{14}{\frac{x^2}{4}-3x+16}la\)
3.gia tri cua a de da thuc A=2x3+7x2+ax+3 chia het cho B=(x+1)2la a=?
cho\(x^2-2xy+2y^2-2x+6y+5=0\)tinh gia tri cua bieu thuc \(\frac{3x^2y-1}{4xy}\)
1. tích các nghiệm cua phương trình(x-2009)(x-2008)(x-2007)...(x-1)x(x+1)...(x+2010)=0
2.cho abc=2008 . khi do gia tri cua bieu thuc
\(\frac{2008a}{\left(ab+2008a+2008\right)}+\frac{b}{bc+b+2008}+\frac{c}{ac+c+1}=0\)
3.gia tri cua bieu thuc Q=(3+1)(32+1)(34+1)...(33994+1)