(2x+1)+(3-4x)+(6x+5)=2014 Tim x (x co nhieu gia tri)
tim so nguyen x de bieu thuc sau co gia tri nguyen
A=\(\frac{4x^3-6x+8x}{2x-2}\)
Tim gia tri nho nhat A=x2-2x
Tim gia tri lon nhat B=-x2+4x-5
Chung minh rang: x4+6x3+11x2+6x chia het cho 24 voi moi x thuoc N
A= x2-2x = ( x2-2x + 1 ) - 1 = -1 (x-1)2 . Vì (x-1)2 lớn hơn hoặc bằng 0 ==> Min A = 1. Khi x = 1
B = -( x2- 4x + 4 +1) = -1-(x-2)2 < -1 ==> Max B = - 1 khi x = 2
Phân tích đa thức x4 + 6x3+11x2+6x = x(x+1)(x+2)(x+3) thành nhân tử tích của 4 số tự nhiên liên tiếp chia hết cho 24
tim gia tri cua x de bieu thuc
A=\(\dfrac{-4}{x^2-4x+10}\) co GTNN
B= -2 + 4x +1 co GTLN
C= \(\dfrac{2}{x^2+4x+5}\) co GTLN
D= \(\dfrac{5}{x^2-6x+12}\) co GTLN
E=\(\dfrac{x^2-2x+2018}{x^2}\) co GTNN
\(A=-\dfrac{4}{x^2-4x+10}\\ =-\dfrac{4}{\left(x^2-2.x.2+4+6\right)}\\ =-\dfrac{4}{\left(x-2\right)^2+6}\)
\(\left(x-2\right)^2\ge0\\ \Rightarrow\left(x-2\right)^2+6\ge6\\ \Rightarrow\dfrac{4}{\left(x-2\right)^2+6}\le\dfrac{2}{3}\\ \Rightarrow A=-\dfrac{4}{\left(x-2\right)^2+6}\ge-\dfrac{2}{3}\)
Min A=-2/3 khi x=2
\(C=\dfrac{2}{x^2+4x+5}=\dfrac{2}{\left(x+2\right)^2+1}\)
Vì \(\left(x+2\right)^2\ge0\Rightarrow\left(x+2\right)^2+1\ge1\)
\(\Rightarrow C\le2\)
Dấu ''='' xảy ra \(\Leftrightarrow x=-2\)
Vậy Min C = 2 kjhi x = -2
tim x de :
1) -2 / 3x - 1 co gia tri duong
2) 3 - 1/2x / 2x^2 + 11 co gia tri am
3) 2/3 - 2x / -x^2 - 1 co gia tri khong am
tim gia tri x nguyen de bieu thuc (3x2-4x+x-1)/(3x+2) co gia tri nguyen
tim gia tri x nguyen de bieu thuc (3x3-4x2+x+1)/(x-4) co gia tri nguyen
Tim Gia tri nho nhat cua ca bieu thuc sau
D=x^2+x+1
E=2x^2-6x
F=3x^2+4x+5
them cau nay nua
tim gia tri cua x sao cho bieu thuc sau co gia tri bang 6
(1+x)^3+(1-x)^3-6x(x+1)
\(\left(1+x\right)^3+\left(1-x\right)^3-6x\left(x+1\right)=6\)
\(\Leftrightarrow1+3x+3x^2+x^3+1-3x+3x^2-x^3-6x^2-6x-6=0\)
\(\Leftrightarrow\left(x^3-x^3\right)+\left(3x^2+3x^2-6x^2\right)+\left(3x-3x-6x\right)+\left(1+1-6\right)=0\)
\(\Leftrightarrow-6x-4=0\)
\(\Leftrightarrow x=-\frac{2}{3}\)
Vậy tập nghiệm của phương trình là \(S=\left\{-\frac{2}{3}\right\}\)
\(\left(1+x\right)^3+\left(1-x\right)^3-6x\left(x+1\right)=6\)
\(\Leftrightarrow1+2x+x^2+x+2x^2+x^3+1-2x+x^2-x+2x^2-x^3-6x-6x^2=6\)
\(\Leftrightarrow2-6x=6\)
\(\Leftrightarrow-6x=4\)
\(\Leftrightarrow x=-\frac{4}{6}=-\frac{2}{3}\)
tim x thuoc z de cac phan so sau co gia tri la sô nguyên
a , A=3/2-1
b, B=4x+1/2x+3
c C=x+7x+4
b)
ĐKXĐ: \(x\ne-\dfrac{3}{2}\)
Để phân số \(B=\dfrac{4x+1}{2x+3}\) là số nguyên thì \(4x+1⋮2x+3\)
\(\Leftrightarrow4x+6-5⋮2x+3\)
mà \(4x+6⋮2x+3\)
nên \(-5⋮2x+3\)
\(\Leftrightarrow2x+3\inƯ\left(-5\right)\)
\(\Leftrightarrow2x+3\in\left\{1;-1;5;-5\right\}\)
\(\Leftrightarrow2x\in\left\{-2;-4;2;-8\right\}\)
hay \(x\in\left\{-1;-2;1;-4\right\}\)(thỏa ĐK)
Vậy: \(x\in\left\{-1;-2;1;-4\right\}\)
giai chi tiet giup minh may bai nay nha
1 gia tri x>0 thoa man
(2x-3)2=(x+5)2
2 gia tri lon nhat cua -3x2-6x-4
3 tim gia tri cua x+y biet
x-y=2 ; x*y=99 va y <0
4 nghiem cua phuong trinh
(2x-3)2-4x2-297=0