densieee
densieee densieee
  • 12-08-2021
  • Mathematics
contestada

If(a-b) =4 and ab=2,find the value of a^2+b^2

Respuesta :

jimrgrant1 jimrgrant1
  • 12-08-2021

Answer:

a² + b² = 20

Step-by-step explanation:

Given

(a - b) = 4 ← square both sides

(a - b)² = 4²

a² - 2ab + b² = 16 ← substitute ab = 2

a² - 2(2) + b² = 16

a² - 4 + b² = 16 ( add 4 to both sides )

a² + b² = 20

Answer Link

Otras preguntas

What term includes all the biotic and abiotic elements in an area? A)ecosystem b. population c. biome d. organ
What was one significant indication that the European feudal system was effective? Similar systems developed in China and Japan. European peasants voted to keep
Identify the type of peer pressure used here: "My friends hang out after school and drink. They told me that I better start drinking too if I want to hang out
Which part of the U.S. Constitution is concerned with the rights of the individual?
do I have to be good at math to be a physicist?
Why is is important to convert rates to the same units before comparing them?
A cause of conflict between colonists and American Indians in Virginia was that
What impact did the marriage of Eleanor of Aquitaine to Henry II have on England? It strengthened England because Eleanor joined her lands in France with those
The largest formal unit of geologic time is ______. a period an era an eon a century
a car speeds up from rest to +16 m/ s in 4s. calculate the acceleration