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Prove that if x and y are both odd positive integer then x²+y² is even but not divisible by 4.prove this cleanly Nd fast?
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Prove that if x and y are both odd positive integer then x²+y² is even...
Let x= 2a+1 and y=2a+1...... ,where a Nd b are some integer.......x^2+y^2=(2a+1)^2+(2b+1)^2.......=4a^2+1+4a+4b^2+1+4b....=4(a^2+b^2+a+b)+2..=>x^2+y^2=4p+2..,where p=(a^2+b^2+a+b)....4p Nd 2 are even no...therefore, 4p+2...is even......and leaves remainder 2 when divided by 4.....Hence, x^2+y^2 is even but not divisible by 4.......
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Prove that if x and y are both odd positive integer then x²+y² is even but not divisible by 4.prove this cleanly Nd fast?
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Prove that if x and y are both odd positive integer then x²+y² is even but not divisible by 4.prove this cleanly Nd fast? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Prove that if x and y are both odd positive integer then x²+y² is even but not divisible by 4.prove this cleanly Nd fast? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Prove that if x and y are both odd positive integer then x²+y² is even but not divisible by 4.prove this cleanly Nd fast?.
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