tim so nguyen x: -28-7.\(\left|-3x+15\right|\)=-70
1 tim cac so nguyen x,y biet x/7=6/21 -5/y=20/28 1/2=x/12 x/8=-28/32 3/y=12/24 3/4=15/y 2 viet 3 phan so bang phan so -10/15
cho bieu thuc
P\(\left(x\right)=\dfrac{20x^2+120x+180}{\left(3x+5\right)^2-4x^2}+\dfrac{5x^2-125}{9x^2-\left(2x+5\right)^2}-\dfrac{\left(2x+3\right)^2-x^2}{3\left(x^2+8x+15\right)}\)
Tim gia tri nguyen cua x de P(x) co gia tri nguyen
\(P=\dfrac{20\left(x^2+6x+9\right)}{\left(3x+5+2x\right)\left(3x+5-2x\right)}+\dfrac{5\left(x-5\right)\left(x+5\right)}{\left(3x-2x-5\right)\left(3x+2x+5\right)}-\dfrac{\left(2x+3+x\right)\left(2x+3-x\right)}{3\left(x+3\right)\left(x+5\right)}\)
\(=\dfrac{20\left(x+3\right)^2}{5\left(x+1\right)\left(x+5\right)}+\dfrac{5\left(x-5\right)\left(x+5\right)}{\left(x-5\right)\cdot5\left(x+1\right)}-\dfrac{3\left(x+1\right)\left(x+3\right)}{3\left(x+3\right)\left(x+5\right)}\)
\(=\dfrac{5\left(x+3\right)^2}{\left(x+1\right)\left(x+5\right)}+\dfrac{\left(x+5\right)}{x+1}-\dfrac{x+1}{x+5}\)
\(=\dfrac{5x^2+30x+45+x^2+10x+25-x^2-2x-1}{\left(x+5\right)\left(x+1\right)}\)
\(=\dfrac{5x^2+38x+69}{\left(x+5\right)\left(x+1\right)}\)
\(=\dfrac{5x^2+38x+69}{x^2+6x+5}\)
Để P là số nguyên thì \(5x^2+30x+25+8x+34⋮x^2+6x+5\)
=>\(8x+34⋮x^2+6x+5\)
=>\(\left\{{}\begin{matrix}8x+34⋮x+1\\8x+34⋮x+5\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}8x+8+26⋮x+1\\8x+40-6⋮x+5\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x+1\in\left\{1;-1;2;-2;13;-13;26;-26\right\}\\x+5\in\left\{1;-1;2;-2;3;-3;6;-6\right\}\end{matrix}\right.\)
=>\(x\in\left\{-2;1\right\}\)
Tim cac so nguyen x,y thoa man:
\(\left|x-7\right|+\left|3-x\right|=\frac{12}{\left|y+1\right|+3}\)
Cũng dễ
Bạn chỉ cần xét từng trường hợp thôi
cho C=\(\frac{3\left|x\right|+2}{4\left|x\right|-5}\)(x la so nguyen )
a) tim x la so nguyen de C dat GTLN;GTNN
b) tim x la so nguyen de C la so tu nhien
cho phuong trinh \(\frac{5x-m}{6}-1=\frac{2x+m}{5}-\frac{m}{10}+\frac{7\left(5-x\right)}{28}\)
a)Tinh x khi m=11
b)Tim so nguyen m sao cho -5<x<1
bai 1 28(30-48)-30(28-38)
bai 2 :tim cac cap so nguyen (x:y)thoa man : y+3+x.y+3x=7
xin lỗi mik mới lớp 5 nếu hỏi được thì mik sẽ trả lời hộ bn !! ^ ^
Phan nguyen cua so huu ti x, ki hieu [x] la so nguyen lon nhat ko vuot qua x.
Hay tim phan nguyen cua: \(\left[\frac{5}{2}\right];\left[\frac{-3}{2}\right];\left[0,2\right]\)
1 tim cac so nguyen x,y biet
x/7=6/21
-5/y=20/28
1/2=x/12
x/8=-28/32
3/y=12/24
3/4=15/y
2 viet 3 phan so bang phan so -10/15
[x+5] [2y-7]=28
Tim cac so nguyen x,y
(x+5).(2y-7)
\(\Rightarrow x+5=0\) hoặc 2y-7=0
x =0-5 2y=0+7
x=-5 2y=7
y=7/2 ( 3,5)
Vậy x=-5 ; y= 7/2 ( 3,5 )
Chúc bạn học tốt!