Violympic toán 8
Các câu hỏi tương tự
Find the smallest póitive integer n such that the number \(2^n+2^8+2^{11}\)is a perfect square
Find the value of k such that x3 + kx2 + (4 - k)x - 35 is divisible by x - 7.
Answer: k = ........
Let P = \(\frac{2x}{x+3}-\frac{x+1}{x-3}+\frac{3-11x}{9-x^2}\). Find the smallest integer x such that P is also an integer.
The polynomial x3 - ax2 + bx - 2010 has three positive integer roots. What's the smallest possible value of a?
1 How many triples of integers (a,b,c) are there such that
?
2
ABC and RTS are similar triangles.
The value of x is 3 The sum of 2 positive integer numbers is greater than their product if the smaller number is
The average of three numbers is 42. All three are whole positive number and are different from each other.
If the least number is 20, what could be the greatest possible number of the remaining two numbers?
Answer: ......
The product of the whole numbers from 1 to 122 is divisible by 22n. Find the greatest possible value of the whole number n.
Determine all positive intergers n with at least 4 factors such that n is the sum of the squares of its 4 smallest factors.
Note: Solving in English
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.