Skip to content
CalcGospel 國際數學圖譜
返回

IAL 2022 Oct Q8

A Level / Edexcel / P4

IAL 2022 Oct Paper · Question 8

题目

Problem

A student was asked to prove by contradiction that

“there are no positive integers xx and yy such that 3x2+2xyy2=253x^2+2xy-y^2=25

The start of the student’s proof is shown in the box below.

Show the calculations and statements that are needed to complete the proof.

(4)
题目中文翻译

一名学生被要求用反证法证明:

“不存在正整数 xxyy 使得 3x2+2xyy2=253x^2+2xy-y^2=25

该学生证明的开头已在下框中给出。

写出完成该证明所需要的计算和论述。

解答