How many ways can 81,000 be written as the sum of two positive integer squares? Prove your answer.
:)
Hint: Some of my recent prior questions.
2007-11-28 14:46:43 · 4 answers · asked by Curt Monash 7 in Science & Mathematics ➔ Mathematics
Care to prove your answer, Jeff?
2007-11-28 14:58:59 · update #1
Or you, Wylie?
2007-11-28 14:59:26 · update #2
Two
162² + 234² = 81000
270² + 90² = 81000
2007-11-28 14:53:13 · answer #1 · answered by Jeƒƒ Lebowski 6 · 1⤊ 0⤋
Sum not product!
162^2 + 234^2
270^2 + 90^2
x^2 + y^2= 81000
2007-11-28 14:54:27 · answer #2 · answered by Wylie Coyote 6 · 0⤊ 0⤋
81,000 = 81 * 1000=9^2 * 10^2 *10, but not all perfect squares
81,000 = 9000 * 9 = 30^2 * 3^2
2007-11-28 14:58:02 · answer #3 · answered by LDJ 3 · 0⤊ 4⤋
again none
81 000= 2*2*2*3*3*5*5*5
no squares!
2007-11-28 14:51:00 · answer #4 · answered by Marko 2 · 0⤊ 5⤋