Given the equation \(\frac{3}{x-3}\)- \(\frac{5}{x-5}\) = \(\frac{4}{x-4}\)- \(\frac{6}{x-6}\). The average (arithmetic mean ) of all roots of this equation is.....
find the roots of the equation 2x^2 - 5xy +3y^2=7
a rectangle has length p and breadth p where p,q are intergers . If p, q satisfy the equation pq+q=13+q^2. What is the maximun of the area of the rectangle?
1) ABC is a triangle where M is the midpoint of segment BC.
MD and ME are two bisectors of triangles AMB and AMC respectively.
If AM= m; BC = a . Then DE = ???
2)\(\dfrac{1}{\left(x+29\right)^2}+\dfrac{1}{\left(x+30\right)^2}=\dfrac{5}{4}\)
What is the product of all real solutions to the equation above?
3) The sum of all possible natural numbers n such that
\(n^2+n+1589\) is a perfect square is.....
4) Given that x is a positive integer such that x and x+99 are perfect squares
The sum of integer x is ...
5)The operation @ on two numbers produces a number equal to their sum minus 2. The value of
(...((1@2)@3....@2017)
6) Given f(x)=\(\dfrac{x^2}{2x-2x^2-1}\)
=> \(f\left(\dfrac{1}{2016}\right)+f\left(\dfrac{2}{2016}\right)+f\left(\dfrac{3}{2016}\right)+...+f\left(\dfrac{2016}{2016}\right)\)
Các bn giúp mk vs >>> tks nha!!!
How many ordered pái of interger (x;y) that satisfy the equation \(2x^2+y^2+xy=2\left(x+y\right)\)
If p and q are primes and \(x^2-px+p=0\) has distinct positive integral roots, find p and q.
If p and q are primes and has \(x^2-px+q=0\) distinct positive integral roots, find p and q .
Given the equation (x - m)(m - 1) + (x - 1)(m + 1) = -2m.
Find all values of m such that this equation has no solution.
Answer: m = ...........
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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.........