Найдите все решения системы уравнений: X^2-6yz+2y^2=1, 3y^2-4xy+9z^2=-1. Created by veraagaeva1999. matematika-ru

Найдите все решения системы уравнений: X^2-6yz+2y^2=1, 3y^2-4xy+9z^2=-1...

veraagaeva1999 @veraagaeva1999

June 2022 1 34 Report

Найдите все решения системы уравнений:
X^2-6yz+2y^2=1,
3y^2-4xy+9z^2=-1

Answers & Comments

hovsep50 X² - 6yz + 2y² = 1
3y² - 4xy +9z² = -1   ⇒
x² -6yz+2y² +3y²-4xy+9z²=0
x²-4xy +4y² +y²-6yz+9z²=0
(x -2y)² + (y - 3z)² = 0   ⇒
x-2y=0
y-3z=0 ⇒
y=3z ; x=2y=6z ⇒ (6z)² - 6·(3z)·z + 2·(3z)² =1 ⇒
(6z)² - 18z² +18z² = 1 ⇒
(6z)² = 1 ⇒ 6z = +/-1
a) z = -1/6   ⇒   y = -1/2 ; x = -1
b) z = 1/6 ⇒ y = 1/2 ; x = 1
Ответ: (-1; -1/2; -1/6) ; (1; 1/2 ; 1/6)

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Answers & Comments

ustanovite sootvetstvie mezhdu formuloj veshestva i reagentami s kazhdym iz kotoryc4f4deace3a128af0d97254675065286 8336

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koordinatnuyu ploskost peregnuli pod pryamym uglom vdol osi oh najdite rasstoyand275bdddffc6341e453abb6f7c257d41 41178

ustanovite sootvetstvie mezhdu nazvaniem veshestva i reagentami s kazhdym iz kotor7cc1a765cb4d75d95cdfc9e08fdf5b40 34512

ispolzuya metod elektronnogo balansa sostavte uravnenie reakcii po sheme kiki

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tri chisla v summe dayut 100 najdite eti chisla esli izvestno chto pervoe pri del61b6fdada48659f3b475e6e03f0c6bd8 84009

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