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 is the relationship between QM and QN
The great depression affected both industrialized nations and those nations which export raw materials. True or false
The graph of which function has a y-intercept of 3 ?
Dr. kim hosts a tv talk show. one of his guests, joe, complains of his intense annoyance with people who talk on their cell phones while driving. joe asks dr. k
A line has a slope of –5 and a y-intercept of (0, 3). What is the equation of the line that is perpendicular to the first line and passes through the point (3,
. Select the answer that properly completes the sentence. A _____ eyes are on the top of its head. flys’ flies’ flies fly’s
Need help with this page of my final . Have no idea how to do geometry . Anyone good at it ? I'd appreciate it !
__________tend to cause a more severe looks of muscle control than alcohol
Much of our communication is nonverbal, which accounts for at least: select one: a. 75 to 80% b. 85 to 95% c. 65 to 70% d. 45 to 55%
A survey about phone service has a margin of error of +/– 5%. Out of 100 people surveyed, 93 said that they were pleased with their service. The phone company h