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

Select the equivalent expression. (x^-3*y^3)^-7=? Choose 1 answer:
Baylor Company began its operations on March 31 of the current year. Projected manufacturing costs for the first three months of business are $156,800, $198,200
Despite the theoretical elegance of this hypothesis, empirical studies have come to the opposite conclusion. Despite the favorable effect of international diver
What is the solution to the system of equations? y = -5x + 3 y = 1 (0.4, 1) (0.8, 1) (1,0.4) O (1,0.8)
Which sentence BEST states the author’s point of view regarding people who are ambitious? A It was a rank wild growth, with many green leaves on it still, and m
A clown 2 m tall looks at himself in a full-length mirror (floor-to-ceiling). Where in the mirror must he look to see his feet?
Main ideas of the Constitution
Which type of volcanic mountain has wide, gentle slopes?
What proved to be a major hardship for settlement in the England colonies
The _____ is important to the cultural context of Nectar in a Sieve. Select all that apply. Muslim tradition history of Britain partition of India Indian caste