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

Choose everything that is in Honduras. San Pedro Sula Apaneca Diego Rivera Beaches in the Caribbean Sea The syrup The tango Chiminikee museum ruins of San Andre
Please help I don't get this at all thank you all
the distance around a meteor crater is 9,622 ft. find the diameter
find the 8th term of the geometric sequence 7, -21, 63..
You can i get a dui on prescription or over-the-counter drugs
What is the probability that the sum of the numbers on two dice is even when they are rolled?
Three progressive reforms which gave more involvement in law making to the people
If you were looking at cells with a microscope,how would you know whether they came from a plant or an animal?
because there was a lack of arable------------------- the greek city states were unable to support large populations
Does the author like the society he describes in harrison bergeron