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

Solve question in photo. Mathematics help.
"In the interest of all America and even the world, I will lower all taxes, increase jobs, and make the quality of life two times better than is has ever been i
which two activities are carried out by all species of living things
Is the quotient 2.7 divided by 14 greater than one or less
How do sex cells differ from other human cells?
Elizabeth Barrett Browning's "A Child Asleep" _____. a) uses the child sleeping as metaphor b) is written in blank verse c) describes the child as more beautifu
Waves are created when a source of _________ (force) causes a vibration.
Several reference to munich are made in the movie, what event are they referring to (you have to figure this out own your own)
An atom of sodium-23 (atomic number = 11) has a positive charge of +1. Given this information, how many electrons does it have? How many protons and neutrons do
Jane worked 32 hours in one week. If she worked the same number of hours each day for 4 days, how many hours a day did she work? A. 8 B. 6 C. 10 D. 4