alilu alilu
  • 10-01-2021
  • Mathematics
contestada

If (3a + 3b + 1) (3a + 3b - 1) = 80, then what is a + b?

Respuesta :

Skywalker8510 Skywalker8510
  • 10-01-2021

Answer: a + b = 3 - [tex]\sqrt{2ab}[/tex]       maybe

Step-by-step explanation:

( 3a + 3b + 1 )( 3a + 3b - 1 ) = 80

Expand

9a² + 9ab - 3a + 9ab + 9b² - 3b + 3a + 3b - 1 = 80

Simplify

9a² + 9b² + 18ab - 1 = 80

move the 1 over

9a² + 9b² + 18ab = 81

divide by 9

a² + b² + 2ab = 9

not really sure after this part

move the 2ab over

a² + b² = 9 - 2ab

square root both sides

a + b = [tex]\sqrt{9-2ab}[/tex]

simplify

a + b = 3 - [tex]\sqrt{2ab}[/tex]

Answer Link

Otras preguntas

Should Canada Treat Water As a Resource to Be Traded?
Should Canada Treat Water As a Resource to Be Traded?
Why does it ecology matter?
in the xy plane below, point c has coordinate (6,9). what is the equation line contains point o and c
Question: Explain how freedoms for African Americans were socially, politically, and economically limited from 1865 to 1900?
the goal of the litter cleanup drive was to collect 500pieces of trash. what percent of this goal did the 30paeticipants achieve?
In return for trading only with them. Great Britain promised the colonies that they would _______________
how chemical displacement reactions differ from a chemical decomposition reaction ? "
Why does it ecology matter?
Q: Philip says truth only one day in a week.Hint 1: Days are Sun, Mon and so on.Hint 2: One day he says "I lie on Mon and Tue".Hint 3: Next day he says "Today i