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

Which two natural resources are readily available in Central Asia? gold and uranium coal and copper oil and diamonds timber and iron ore
On the first visit to the veterinarian's office, Cora's kitten weighed 550 grams. On the second visit, the kitten had gained 350 grams. On the third visit, the
How did Liliuokalani react to the creation of a new government in Hawaii?
Tom, Kristen, and bill bought 3 granola bars to share amongst themselves. They divided each granola bar into 4 equal portions. Kristen ate 1 portion from each g
please give a answer​
Which era of American musicals is defined by exotic locations; emphasis on songs rather than plot; and stereotypical characters
Which of the following numbers are composite?​6,14,25,30,52
I NEED HELP YALL PLEASEEEEE!!! New guidelines were recently published by the U.S. Department of Agriculture (USDA) to improve the way people eat. Recommendation
How can I master networking my home/business computer(s) - Tv's - iot devices and make the whole system as secure as possible?
Who is the President of India ? .......​