Question

Prove that there are no rational numbers x and y such that x2 -y2 =1002.​

Prove that there are no rational numbers x and y such that x2 -y2 =1002.​

Math   Algebra   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Prove the following theorem about rational numbers: If [(x, y)] ≠ [(0, 1)] then [(x, y)]...
Prove the following theorem about rational numbers: If [(x, y)] ≠ [(0, 1)] then [(x, y)] has a multiplicative inverse
Prove the Basic Principal of Difference of squares: If x2 ≡ y2 (mod n) and x...
Prove the Basic Principal of Difference of squares: If x2 ≡ y2 (mod n) and x is not ± y, where x and y lie in the range {0, … , n-1}, then n is composite and has gcd(x-y, n) as a non-trivial factor.
Prove the Basic Principal of Difference of squares: If x2 ≡ y2 (mod n) and x...
Prove the Basic Principal of Difference of squares: If x2 ≡ y2 (mod n) and x is not ± y, where x and y lie in the range {0, … , n-1}, then n is composite and has gcd(x-y, n) as a non-trivial factor.
Show that if a,y,z are rational numbers such that x < y and y < z,...
Show that if a,y,z are rational numbers such that x < y and y < z, then x < z.
prove that the family of set of {x: x>a, a rational} or {x:x<a, a rational} forms...
prove that the family of set of {x: x>a, a rational} or {x:x<a, a rational} forms a subbasis of the standard topology on the real numbers. prove that the standard topology generated by this basis is countable.
. Let f(x, y) = x2 y(2 − x + y2 )5 − 4x2 (1 +...
. Let f(x, y) = x2 y(2 − x + y2 )5 − 4x2 (1 + x + y)7 + x3 y2 (1 − 3x − y)8 . Find the coefficient of x5y3 in the expansion of f(x, y).
4-bit signed numbers X = x3 x2 x1 x0 Y = y3 y2 y1 y0 need...
4-bit signed numbers X = x3 x2 x1 x0 Y = y3 y2 y1 y0 need a logic simulation to read signed numbers x3, and y3. if x3 and y3 are equal to 0, read the number as is. if x3 and y3 are equal to 1, take the 2's complement of number.
Evaluate ∫∫Sf(x,y,z)dS , where f(x,y,z)=0.4sqrt(x2+y2+z2)) and S is the hemisphere x2+y2+z2=36,z≥0
Evaluate ∫∫Sf(x,y,z)dS , where f(x,y,z)=0.4sqrt(x2+y2+z2)) and S is the hemisphere x2+y2+z2=36,z≥0
Prove that the only ring homomorphism from Q (rational numbers) to Q (rational numbers) is the...
Prove that the only ring homomorphism from Q (rational numbers) to Q (rational numbers) is the identity map.
4. Prove that {(x, y) ∈ R 2 ∶ x − y ∈ Q} is an...
4. Prove that {(x, y) ∈ R 2 ∶ x − y ∈ Q} is an equivalence relation on the set of real numbers, where Q denotes the set of rational numbers.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT