Let \(A=x^2+2y^2+2x-4\)
From condition, we have: \(y^2=7-x^2\)
Therefore: \(A=x^2+2\left(7-x^2\right)+2x-4\)
\(\Rightarrow A=-x^2+2x+10=-\left(x-1\right)^2+11\le11\)
\(\Rightarrow A_{max}=11\) when \(\left\{{}\begin{matrix}x=1\\y^2=6\end{matrix}\right.\)
Given Q = \(x\left(3x-2\right)+3x\left(1-2x\right)+6x+2\)
Find the maximum of Q
Toán tiếng anh: A rectangle has length pcm and width qcm, where p and q are integer. If p and q satisfy the equation pq+q=13+q2 then the maximum possible area of the rectangle is.........
How many ordered pái of interger (x;y) that satisfy the equation \(2x^2+y^2+xy=2\left(x+y\right)\)
Given a rectangle with dimension by
. Find the area of the rectangle when
and
.
Given that ABCD is a rectangle with AB = 12 cm, AD = 6 cm. M and N are respectively midpoint of segments BC and CD. Find the area of triangle AMN in square centimeters.
Given the rectangle ABCD and the triangle BEC. Find the value of x such that the ratio of the area of the rectangle to the area of the triangle BEC is 7:3.
Answer: x = ....... cm.
Bài 1: Phân tích các đa thức sau thành nhân tử
a. 1 - 4x2
b. 8 - 27x3
c. 27 + 27x + 9x 2 + x3
d. 2x3 + 4x2 + 2x
e. x2 - 5x - y2 + 5y
f. x2 - 6x + 9 - y2
g. 10x (x - y) - 6y(y - x)
h. x2 - 4x - 5
i. x4 - y4
Bài 2: Tìm x, biết
a. 5(x - 2) = x - 2
b. 3(x - 5) = 5 - x
c. (x +2)2 - (x+ 2) (x - 2) = 0
Bài 3: Tìm giá trị nhỏ nhất của biểu thức
a. A = x2 - 6x + 11
b. B = 4x2 - 20x + 101
c. C = -x2 - 4xy + 5y2 + 10x - 22y + 28
bt x,y thỏa mãn x2+2xy+6x+6y+2y2+8=0
tìm max và min của B=x+y+2020
Given a set three integers greater than 1.
Let A be the number that's 1 less than the product of three given integers.
Let B be the product of numbers that're 1 less than three given integers.
Known that A is a multiple of B.
How many sets can you find.
A. 1
B. 2
C. 3
D. 4
