stewartoliver26 stewartoliver26
  • 03-06-2020
  • Mathematics
contestada

If (x + y)^2 = 1 and xy = -4, what is the value of x^2 + y^2?

Respuesta :

ronhagrid310
ronhagrid310 ronhagrid310
  • 03-06-2020

Answer:

[tex](x + y)^{2} = 1\\xy = -4\\x^{2} + y^{2} \\= x^{2} + 2xy + y^{2} - 2xy \\= (x^{2} + 2xy + y^{2}) - 2xy\\= (x+y)^{2} - 2xy\\= 1 - 2 *(-4) \\= 9[/tex]

Hope this helps!

:)

Answer Link

Otras preguntas

John's age is 4 more than 3 time Mike's age. If their sum is 20, how old are Mike and John?
The "A" in ACL stands for
125 centimeters to 87.5 centimeters
The average score on a biology test was 72.1 (1 repeats). write the average score using a fraction.
What features of big cities appealed to immigrants
what is 45 divided by two thirds
What is the product of 36 and 80
why were many Americans eager to move to the western frontier?
if the product of two numbers is 21 and the sum is 10 what are the two numbers
which agency coordinates the internet's IP addressing and DNS systems?