x2+xy+y2=x2y2
=> x2+2xy+y2=x2y2-xy
=> (x+y)2=xy(xy+1)
Vi (x+y)2 chinh phuong , nen xy(xy+1) cung chinh phuong
Vay xy=xy+1 hoac xy=0
TH1 xy=xy+1 => 0=1 ( vo ly)
TH2 xy=0 => xy(xy+1)=0 => x+y=0 => x=y=0
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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How many ordered pái of interger (x;y) that satisfy the equation \(2x^2+y^2+xy=2\left(x+y\right)\)
Find the minimum value of the expression .
Given that x and y satisfy x2 + y2 = 7 . Find the maximum of x2 + 2y2 + 2x - 4
Find the minimum value of the expression .
Answer: The minimum value is
find the roots of the equation 2x^2 - 5xy +3y^2=7
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.
find the smallest positive integer k for which \(\sqrt{6075\cdot k}\) is a whole number
Answer : the smallest positive integer k is ......
2. find the value of k such that the remainder is the greatest
k/13= 11Rx
K=
