Algebra> question1...

For any rational x and y prove that x^2+y^2=3

Mostafijur Rahaman , 11 Years ago

Grade 12

3 Answers

sudhir pal

Last Activity: 11 Years ago

this question is wrong

for disapproving lets put x=2 and y = 3 (both are rational) and since expression is true for any rational which is not true

please rewrite the question again

Thanks & Regards

Sudhir,

askIITians Faculty

Qualification.

IIT Delhi

Approved

Mostafijur Rahaman

Last Activity: 11 Years ago

srry the question will be prove that for any there is no rational x&y such that x^2+y^2 equal to 3.

mycroft holmes

Last Activity: 11 Years ago

Suppose there are rationals satisfying this equation, we have (m/n)^2+(k/l)^2 = 3 or (ml)^2+(kn)^2 = 3(ln)^2 Note that the highest power of 3 that divides LHS is even, while it is odd on RHS. Hence this equation is impossible in integers. Hence no rational solutions exist

Approved