giovy8534 giovy8534
  • 22-02-2018
  • Mathematics
contestada

How many distinct pairs of perfect squares differ by 35? (the pair $a, b$ is the same as the pair $b, a$.)?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 22-02-2018
35 has 4 divisors, hence two factor pairs: 1*35 and 5*7. Each corresponds to a set of perfect squares that differ by 35

One pair is ((35±1)/2)^2 = {17^2, 18^2} = {289, 324}
The other is ((7±5)/2)^2 = {1^2, 6^2} = {1, 36}
Answer Link
zetshia zetshia
  • 29-11-2021

Answer:

2

Step-by-step explanation:

Answer Link

Otras preguntas

Georges Cuvier's discovery of fossils of Irish elk and giant ground sloth:
how do u express a ratio as a decimal
true or false questions basic math 1.the total surface area of a cube each of whose edges is 12 inches long is 6 square feet 2.if the tank in a car holds 15 gal
What is 3 to the 3rd power times 3 to the 4th power
what are the rational numbers of -12,0,35,4.85,√12,√36,19/6,-10/11,1.4949949994
What national symbol is common to China and Wales ?
Georges Cuvier's discovery of fossils of Irish elk and giant ground sloth:
resources are an integral part of human survival.yet indiscriminate use of them by humans has led to a crisis situation."discuss the above ststement in light of
Collect information about working of geyser and prepare a report
Relationship between Mini and Kabuliwala