This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: b and c are real numbers and a 6 = 0, then there is a unique solution of the equation ax + b = c . 4. Another quantifcation: Question 30 on Page 103: Prove that there are infnitely many solutions in positive integers x , y and z to the equation x 2 + y 2 = z 2 . 5. Question 20 on Page 103: Show that if x is a nonzero real number then x 2 + 1 x 2 ≥ 2. 6. Question 33 on Page 108: Prove that if x is irrational and x ≥ 0 then √ x is irrational. 7. Question 10 on Page 102: Show that the product of two of the numbers 65 10008 2001 +3 177 , 79 12129 2399 +2 2001 , and 24 47935 8192 +7 1777 is nonnegative....
View
Full Document
 Spring '10
 ADACHAN

Click to edit the document details