Bai 5
1/ Tim GTNN : A= x^2+3x+2
2/Tim x,y biet:
a/x^2-4x+y^2+2y+5=0
b/2x^2+y^2-2xy+10x+25=0
Giai ho minh bai 1,2,3,4,5 nhe !!! Minh dang len tren dien dan roi day !!!!
Minh can gap !!! Camon may ban tr'c nha
BAI 1 TINH
x ^ 2 . x - 2x^3
6 x^2 y . 3 xy - 2y ^2 .x +y
4x^2 + 5x -1 . 2x^3 - 3x
- 8 x^3y + 2 y^4 . 3xy^3 - 2 x^4 + 7y ^4
CAC BAN OI GIUP MINH NHE MINH DANG CAN GAP
Tim x, y, z biet :
a , x/5 = y/7 va x . y =140
b , x : y : z = 2 : 5 : 7 va 3x + 2y - z =27
Moi nguoi giup minh giai bai nay nha minh can gap
a) Đặt \(\frac{x}{5}=\frac{y}{7}=k\)
\(\Rightarrow\hept{\begin{cases}x=5k\\y=7k\end{cases}}\)
\(\Rightarrow xy=5k.7k\)
\(\Rightarrow140=35k^2\)
\(\Rightarrow k^2=4\)
\(\Rightarrow\orbr{\begin{cases}k=2\\k=-2\end{cases}}\)
Với k = 2 ta có :
+) \(\frac{x}{5}=2\Rightarrow x=10\)
+) \(\frac{y}{7}=2\Rightarrow y=14\)
Với k = -2 ta có :
+) \(\frac{x}{5}=-2\Rightarrow x=-10\)
+) \(\frac{y}{7}=-2\Rightarrow y=-14\)
Vậy \(\left(x;y\right)=\left\{\left(10;14\right);\left(-10;-14\right)\right\}\)
b) Ta có :
\(x:y:z\)\(=\)\(2:5:7\)\(\Rightarrow\)\(\frac{x}{2}=\frac{y}{5}=\frac{z}{7}\)\(\Rightarrow\)\(\frac{3x}{6}=\frac{2y}{10}=\frac{z}{7}\)
Áp dụng tính chất của dãy tỉ số bằng nhau ta có :
\(\frac{3x}{6}=\frac{2y}{10}=\frac{z}{7}=\frac{3x+2y-z}{6+10-7}=\frac{27}{9}=3\)
+) \(\frac{x}{2}=3\Rightarrow x=6\)
+) \(\frac{y}{5}=3\Rightarrow y=15\)
+) \(\frac{z}{7}=3\Rightarrow z=21\)
Vậy x = 6, y = 15 và z = 21
_Chúc bạn học tốt_
a, x.y/5.7=140/35
=140/35=4
x/5=4/7
x/7=5/4
x.7=5.4
x.7=20
x=20;7
x=20/7
b,chịu
tk thì tk ko tk cx đc
a, \(\frac{x}{5}=\frac{y}{7}\left(x.y=140\right)\)
Đặt \(\frac{x}{5}=\frac{y}{7}=k\)
\(\Rightarrow7x=5y\)
\(\Rightarrow x.y=7k.5k=35k^2=140\)
\(\Rightarrow k^2=4\Rightarrow k=\pm2\)
\(\Rightarrow\orbr{\begin{cases}\hept{\begin{cases}x=2.7=14\\y=2.5=10\end{cases}}\\\hept{\begin{cases}x=\left(-2\right).7=-14\\y=\left(-2\right).5=-10\end{cases}}\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}\hept{\begin{cases}x=2.7=14\\y=2.5=10\end{cases}}\\\hept{\begin{cases}x=\left(-2\right).7=-14\\y=\left(-2\right).5=-10\end{cases}}\end{cases}}\)
Vậy ....
b, \(x:y:z=2:5:7\left(3x+2y-z=27\right)\)
Đặt \(\frac{x}{2}=\frac{y}{5}=\frac{z}{7}=k\)
\(\Leftrightarrow x=2k;y=5k=z=7k\)
\(\Leftrightarrow3x+2y-z=6k+10k-7k=27\)
\(\Leftrightarrow x=6;y=15;z=21\)
Vậy ...
Tim so tu nhien y, biet :
a) 12 2/5 < y < 13 1/7 b) 22/5 x 2 > y > 6 1/2
tren la 12 la hon so, 2/5 la phan so nhe, ben kia cung vay nhe. Mong cac ban giai bai ho minh som nhe.
bai 1 :1,2+2,3+3,4+...+97,98+98,99+99,100 tinh tong cua day so tren?
bai 2: 1,2,3,4,5,....,x Tim x de số chữ số của day gấp 4,5 lần x?
bai 3 : ngay 8/3 nam 2004 la thu 3 . Hỏi sau 60 năm nữa 8/3 la thứ mấy?
( nhanh nhe minh dang can gap )
y nhan 5 cong y nhan 6 tru y tru 37 bang 63
cac ban giup minh tra loi bai tim y trong 2ngay nhe !
nhanh len nhe may ban
minh can gap!
Bài làm
y . 5 + y . 6 - y - 37 = 63
y ( 5 + 6 - 1 ) = 63 + 37
y . 10 = 100
y = 10
\(y\times5+y\times6-y-37=63\)
=> y x 5 + y x 6 - y = 63 + 37
=> y x 5 + y x 6 - y x 1 = 100
=> y x ( 5 + 6 - 1 ) = 100
=> y x 10 = 100
=> y = 100 : 10
=> y = 10
Study well ! >_<
tinh:
a)x^2.(4x-7x^3)
b)(x-2).(x^2+2x+4)
c)(x4-x^3-3x^2+x+2):x^2-1
d)(3xy-4x^3y^4+6x^2y^3):2
ptdt thanh nhan tu
x^3-4x
b)2x^2y+2xy^2-x-y
tim x:
x^2-5=0
ai lam dc cau nao lam ho minh nhe,mai mih can roi thank
Bài 2:
a: \(=x\left(x^2-4\right)=x\left(x-2\right)\left(x+2\right)\)
b: \(=2xy\left(x+y\right)-\left(x+y\right)=\left(x+y\right)\left(2xy-1\right)\)
Bài 3:
=>x^2=5
hay \(x=\pm\sqrt{5}\)
A= x^2 - 6x + 15
B= 2x^2 - 10x + 8
C= x^2 + y^2 - 2x -2y + 7
Tim GTNN ( Min)
Giup minh voi nha >< Minh can cho bai ktra ngay mai lam >< Cam on a ><
\(A=x^2-6x+15\)
\(A=x^2-2\cdot x\cdot3+3^2+6\)( biến đổi về dạng HĐT )
\(A=\left(x-3\right)^2+6\)
vì ( x - 3 )2 luôn >= 0 với mọi x
\(\Rightarrow A\ge6\)với mọi x
Dấu "=" xảy ra \(\Leftrightarrow x-3=0\Leftrightarrow x=3\)
Vậy Amin = 6 <=> x = 3
\(B=2x^2-10x+8\)
\(B=2\left(x^2-5x+4\right)\)
\(B=2\left(x^2-2\cdot x\cdot\frac{5}{2}+\left(\frac{5}{2}\right)^2-\frac{9}{4}\right)\)
\(B=2\left[\left(x-\frac{5}{2}\right)^2-\frac{9}{4}\right]\)
\(B=2\left(x-\frac{5}{2}\right)^2-\frac{9}{2}\)
Vì 2( x - 5/2 )2 luôn >= 0 với mọi x
\(\Rightarrow B\ge\frac{-9}{2}\)với mọi x
Dấu "=" xảy ra \(\Leftrightarrow x-\frac{5}{2}=0\Leftrightarrow x=\frac{5}{2}\)
Vậy Bmin = -9/2 <=> x = 5/2
tim ti so x, y biet
a ,\(\dfrac{3x-2y}{7}=\dfrac{4x+3y}{5}\)
b \(\dfrac{5x-2y}{3x+4y}=\dfrac{-3}{4}\)
giup minh nhe minh dang can gap
a, Có \(\dfrac{3x-2y}{7}=\dfrac{4x+3y}{5}\)
=> 5(3x-2y)=7(4x+3y)
=> 15x-10y=28x+21y
=> 15x-28x=21y+10y
=> -13x=31y
=> \(\dfrac{x}{y}=\dfrac{31}{-13}=\dfrac{-31}{13}\)
b,\(\dfrac{5x-2y}{3x+4y}=\dfrac{-3}{4}\)
=> 4(5x-2y)=-3(3x+4y)
=> 20x-8y= -9x-12y
=> 20x+9x=-12y+8y
=> 29x=-4y
=> \(\dfrac{x}{y}=\dfrac{-4}{29}\)
bai 1 cmm hang dang thuc
a,(a+b+c)^2 +a^2+b^2+c^2=(a+b)^2+(b+c)^2+(c+a)^2
b, x^4+x^4+(x+y)^4=2(x^2+xy+y^2)^2
giAI HO MINH NHE NHANH LEN MINH DANG GAP
aVT=.\(\left(a+b+c\right)^2+a^2+b^2+c^2\)
=\(a^2+b^2+c^2+2ab+2ac+2bc+a^2+b^2+c^2\)
=\(2a^2+2b^2+2c^2+2ab+2ac+2bc\)
VP=\(\left(a+b\right)^2+\left(b+c\right)^2+\left(a+c\right)^2\)=\(a^2+2ab+b^2+b^2+2bc+b^2+a^2+2ac+c^2\)
=\(2a^2+2b^2+2c^2+2ab+2bc+2ac\)
Vậy VT=VP
a)\(\text{(a+b+c)^2 +a^2+b^2+c^2=(a+b)^2+(b+c)^2+(c+a)^2}\)
Ta có:
\(\left(a+b+c\right)^2+a^2+b^2+c^2=a^2+b^2+c^2+2ab+2bc+2ac+a^2+b^2+c^2\)
\(=\left(a^2+2ab+b^2\right)+\left(b^2+2bc+c^2\right)+\left(c^2+2ca+a^2\right)\)
\(=\left(a+b\right)^2+\left(b+c\right)^2+\left(c+a\right)^2\)
Vậy \(\left(a+b+c\right)^2+a^2+b^2+c^2=\left(a+b\right)^2+\left(b+c\right)^2+\left(c+a\right)^2\)
b) Câu b sao chỉ có một vế vậy , hằng đẳng thức thì phải có hai vế chứ
b) \(\text{x^4+y^4+(x+y)^4=2(x^2+xy+y^2)^2}\)
Ta có:
\(x^4+y^4+\left(x+y\right)^4=x^4+y^4+x^4+4x^3y+6x^2y^2+4xy^3+y^4\)
\(2x^4+2y^{\text{4}}+4x^3y+6x^2y^2+4xy^3=2\left(x^4+y^4+2x^3y+3x^2y^2+2xy^3\right)\)
\(=2\left[\left(x^2\right)^2+\left(y^2\right)^2+\left(xy\right)^2+2x^2.y^2+2y^2.xy+2x^2.xy\right]\)
\(=2\left(x^2+xy+y^2\right)^2\)
Vậy \(x^4+y^4+\left(x+y\right)^4=2\left(x^2+xy+y^2\right)^2\)