If k is even number then for what value of x and y, x2k−(xy)k+y2k=0
If k is even number then for what value of x and y,
Answer & Explanation
Beginner2022-02-02Added 15 answers
Suppose y is zero, then the only solution to . Thus, is one of the possible solutions.
Now assume y is not zero. Then dividing everything by you get
or, after substituting ,
This quadratic equation has no real solutions.
This means is the only possible solution, and even that for because when the expression is not well-defined.
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