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

Who was the leader of the Bolsheviks that led a counterrevolution in Russia and established a Communist government
What is the meaning of the reference point in electric potential?.
What is one strategy that can help a borrower reduce the cost of a loan? A. The borrower can choose a loan with a simple rather than a compound interest rate. B
6.Technology is applied science.True False
Round 0.0973 to 1 significant figure.
Is 36 T-shirts in 3 boxes equivalent to 60 T-shirts in 6 boxes?
How many 2/5 pieces of rope can be cut out of 4 4/5 of rope?
The perimeter of a square window is 148 inches. How long is each side?
Refer to one or more details from the text to support your understanding of the significance of the Challenger tragedy. What words and phrases in the first two
how did nationalism contribute to independence in india