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12 tháng 4 2017

Thay x=1 vào pt, ta có: \(\left(a+1\right)\left(b+1\right)\left(c+1\right)=-5\left(1\right)\)

vì vai trò của a,b,c là như nhau, giả sử:\(a>b>c\Rightarrow a+1>b+1>c+1\left(2\right)\)

vì a,b,c là số nguyên nên a+1,b+1,c+1 cũng là số nguyên (3)

từ (1),(2),(3)\(\Rightarrow\hept{\begin{cases}a+1=5\\b+1=1\\c+1=-1\end{cases}\Leftrightarrow\hept{\begin{cases}a=4\\b=0\\c=-2\end{cases}}}\)

16 tháng 3 2016

2: Ước của 120 là:

{1;2;3;4;5;6;8;10;12;15;20;24;30;40;60;120}

9: x+ (1+2+3+4+...+100) = 5750

    x + 5050= 5750

     x = 5750 - 5050 = 700

6. Chữ số thứ 215 là 1285

16 tháng 2 2017

cau 2 la co 16 uoc

cau 5 a=7 b=-1 c=-2 d=-3

Bài thi số 3 19:25 Câu 1: A man drove a car from A to B at speed 60km/h. After arriving B, he took a rest for 30 minutes then turned back to A at speed 40km/h. Known that he started from A at 7:00 am and he reached A again at 3:15pm on the same day. The distance between A and B is km. Câu 2: The minimum of the expression is Câu 3: Given that is a positive integer such that and are perfect squares. The sum of such integers is Câu 4: Given two triangles ...
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Bài thi số 3

19:25 Câu 1:
A man drove a car from A to B at speed 60km/h. After arriving B, he took a rest for 30 minutes then turned back to A at speed 40km/h. Known that he started from A at 7:00 am and he reached A again at 3:15pm on the same day. The distance between A and B is km. Câu 2:
The minimum of the expression is Câu 3:
Given that is a positive integer such that and are perfect squares.
The sum of such integers is Câu 4:
Given two triangles and . Known that , and .
If then Câu 5:
How many real numbers are there such that ?
Answer: There are numbers . Câu 6:
The operation on two numbers produces a number equal to their sum minus 2.The value of is Câu 7:
ABC is a triangle. AM is the bisector of angle CAB. Given that AM = 4cm, AB = 6m and AC = 12cm.Then the measurement of angle BAC is degrees. Câu 8:
In the equation above, where is a constant.The greatest possible value of such that the equation has at least one solution is Câu 9:
and are positive integers such that , where is a prime number.
The number of pairs is Câu 10:
Given that .
Calculate:
=
(Input the answer as a decimal in its simplest form) Nộp bài
7
10 tháng 4 2017

câu 7 mk bấm nhầm đáp án là 120

qua B kẻ đường thẳng song song với AM cắt AC ở N.

vì AM là phân giác góc BAC nên có :

\(\dfrac{AC}{AB}=\dfrac{CM}{BM}=\dfrac{12}{6}=2\) suy ra \(\dfrac{CM}{BC}=\dfrac{CM}{CM+BM}=\dfrac{12}{12+6}=\dfrac{2}{3}\)

vì AM song song với BN nên có :

1,\(\dfrac{CA}{AN}=\dfrac{CM}{BM}=\dfrac{12}{AN}=2\) suy ra AN=6

2,\(\dfrac{AM}{BN}=\dfrac{CM}{BC}=\dfrac{2}{3}=\dfrac{4}{BN}\)suy ra BN=6

vì AB=6 nên tam giác ABN đều

suy ra \(\widehat{NAB}\)=\(60^0\)

\(\widehat{NAB}+\widehat{BAC}=\)\(180^0\)

nên \(\widehat{BAC}=\)\(120^0\)

7 tháng 4 2017

bài này bữa mình thi có 50đ à hehe

Lesson 1: analyzing the polynomial factors.Notes + 2 x-1x 3 + 6x2 + 11x + 6x 4 + 2 x 2-3AB + ac + b2 + 2bc + c2A3-b3 + c3 + 3abcLesson 2: for functions: search conditions of x to A means.A shortening.Computer x to A < 1.Post 3: prove the inequality:For a + b + c = 0. Prove that: a3 + b3 + c3 = 3abc.For a, b, c are the sidelengths of the triangle. Proof that:Prove that x 5 + y5 ≥ x4y + xy4 with x, y ≠ 0 and x + y ≥ 0Lesson 4: solve the equation:x 2-3 x + 2 + | x-1 | = 0Lesson 5: find the...
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Lesson 1: analyzing the polynomial factors.

Notes + 2 x-1
x 3 + 6x2 + 11x + 6
x 4 + 2 x 2-3
AB + ac + b2 + 2bc + c2
A3-b3 + c3 + 3abc
Lesson 2: for functions: 

search conditions of x to A means.
A shortening.
Computer x to A < 1.
Post 3: prove the inequality:

For a + b + c = 0. Prove that: a3 + b3 + c3 = 3abc.
For a, b, c are the sidelengths of the triangle. Proof that:


Prove that x 5 + y5 ≥ x4y + xy4 with x, y ≠ 0 and x + y ≥ 0
Lesson 4: solve the equation:

x 2-3 x + 2 + | x-1 | = 0


Lesson 5: find the largest and smallest value (if any)

A = x 2-2 x + 5
B =-2 x 2-4 x + 1.
C = 
Lesson 6: calculate the value of expression.

Know a – b = 7 feature: A = (a + 1) a2-b2 (b-1) + ab-3ab (a-b + 1)
For three numbers a, b, c is not zero catches up deals for equality: 
Computer: P = 

Article 7: proof that

8351634 + 8241142 divisible 26.
A = n3 + 6n2-19n-24 divisible by 6.
B = (10n-9n-1) divisible 27 with n in N *.
Article 8:

In the motorcycle race three cars depart at once. The second car in a one-hour run slower than the first car 15 km and 3 km third cars. rapidly should the destination more slowly the first car 12 minutes and the third car earlier today. No stops along the way. Calculate the speed of each car, race distance and the time each car

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câu 1: A rectangle has a length of 60cm and a width of 30cm. It is cut into 2 indentical squares, 2 identical rectangles and a shaded small square. Find the area of the shaded square. Find the area of the shaded square. câu 2.The number of ordered pairs (x; y) where x, y ∈ N* such that x2y2 - 2(x + y) is perfect square is .......... câu 3.Let ABCD be the square with the side length 56cm. If E and F lie on CD, C respectively such that CF = 14cm and EAF = 45o then CE = ........cm. câu...
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câu 1: A rectangle has a length of 60cm and a width of 30cm. It is cut into 2 indentical squares, 2 identical rectangles and a shaded small square. Find the area of the shaded square.
Find the area of the shaded square.
Đề thi violympic toán tiếng anh lớp 8 vòng 10
câu 2.The number of ordered pairs (x; y) where x, y ∈ N* such that x2y2 - 2(x + y) is perfect square is ..........

câu 3.Let ABCD be the square with the side length 56cm. If E and F lie on CD, C respectively such that CF = 14cm and EAF = 45o then CE = ........cm.

câu 4.

Given P(x) = (x2 - 1/2 x - 1/2)1008
If P(x) = a2016x2016 + a2015x2015 + ..... + a1x + a0
then the value of the sum a0 + a2 + a4 + .... + a2014 is ...........

Write your answer by decimal in simplest form câu 5.Let ABC be an isoceles triangle (AB = AC) and its area is 501cm2. BD is the internal bisector of the angle ABC (D ∈ AC), E is a point on the opposite ray of CA such that CE = CB. I is a point on BC such that CI = 1/2 BI. The line EI meets AB at K, BD meets KC at H. Find the area of the triangle AHC. câu 6. all roots of the polynomial P(x) = x2 + 5x - 1 are also roots of the polynomial Q(x) = x3 + ax2 + bx + c then the value of a + b + 6c is ............ câu 7.Suppose that the polynomial f(x) = x5 - x4 - 4x3 + 2x2 + 4x + 1 has 5 solutions x1; x2; x3; x4; x5. The other polynomial k(x) = x2 - 4.
Find the value of P = k(x1) x k(x2) x k(x3) x k(x4) x k(x5) câu 8.The smallest value of Đề thi violympic toán tiếng anh lớp 8 vòng 10 is ............. câu 9.Let ABCD be a trapezoid with bases AB, CD and O be the intersection of AC and BD. If the areas of triangle OAB, triangle OCD are 16cm2, 40cm2respectively and M is the midpoint of BD, then the area of the triangle AMD is .........cm2. câu 10.Bottle A contains 15% syrup. Bottle B contains 40% syrup. When these 2 bottles of syrup are mixed, the syrup content is 30% and the total volume is 600ml. How much syrup is in the bottle A at first? câu 11.Let ABCD.A'B'C'D' be a cube with AC' = √3cm. Find the total surface area of this cube. câu 12.Let ABC be a triangle with AB = 3cm, AC = 7cm. The internal bisector of the angle BAC intersects BC at D. The line passing through D and parallel to AC cuts AB at E. Find the measure of DE. câu 12.Given two numbers x, y such that (4y2 - 12y + 25)(4x2 + 6x + 4) = 28
The ratio of y to x is ........ câu 13.Mr.Joseph drives car from A to B at a constant speed. If the speed of the car is increased by 20%, it takes him one hour less than the usual time. If he drives at the constant speed for the first 100km before increasing the speed by 30%, it also takes him one hour less than the usual. The distance of AB is ..........km. câu 14.A triangle ABC has  = 120o and the bisector AD (D ∈ BC). If AB = 40cm, AD = 30cm, then AC = ..... cm. câu 15.As shown in the figure, the length of BE is .............
Đề thi violympic toán tiếng anh lớp 8 vòng 10 câu 16.

Let f(x) the polynomial given by f(x) = (1 + 2x + 3x2 + 4x3 + 5x4 + 84x5)
Suppose that f(x) = ao + a1x + a2x2 + ..... + ..... + a50x50.
The value of T = a1 + a2 + .... + a50 is .........

  • a. 9910 - 1
  • b. 9910
  • c. 10010
  • d. 10010 - 1
  • câu 17.Find the area of the trapezoid ABCD, BC // AD, AB = CD = 5cm, BC = 10cm, AD = 16cm.
    The area of the trapezoid ABCD is .........cm2.
  • câu 18.Find the least possible value of A = 4x2 - 3x + 1/4x + 2015, where x varies in the set of positive real numbers. The least possible value of A is
  • câu 19.
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19 tháng 12 2016

Mọi người giải ra giúp ạ, cảm ơn nhiều!

13 tháng 2 2017

Dịch hộ cái đề, làm biếng tra quá leuleu

13 tháng 2 2017

hóa ra là tra đề -_-