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

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

What is the techinical term for hungry?

Benita runs for 500 meters every day. After 10 days, how many kilometers has Benita run?

A baseball hat is on sale for 15% off, which is $2.70. How much does the baseball hat cost at full price.

Cual es la poblacion de el paso

To study two languages together, which is better, languages of same or different roots and origins?

I need 3 reasons why Gene-editing (CRISPR-Cas9) is good

Given: △ABC, D∈ AC m∠ABC=m∠BDA AB=2, AC=4 Find: AD and DC

The planner for a company celebration bought 313 balloons. While he was inflating them, 13 of them overinflated and burst. If he had to place them evenly into 5

The Statue of liberty, also known as the "modern colossus," is the echo of another statue, the original colossus that stood over two thousand years ago at the e

Please help me out with this Thank you! For question 2, i think its 2000 but correct me if I'm wrong.