<h3>=r^5(r+1)-(3+r^2)(r^4-3r^2+9)=r^6+r^5+(-3-r^2)(r^4-3r^2+9)=r^6+r^5-3r^4+9r^2-27-r^6+3r^4-9r^2=r^5+9r^2-27-9r^2=r^5-27</h3>
Х+2у=5; х=5-2у; 5х-3у=-1; 5(5-2у)-3у=-1; 25-10у-3у+1=0; 26-13у=0; 13у=26; у=26/13=2.
х+2у=5; х+2*2=5; х=5-4=1.
Відповідь: х=1, у=2.
X² - 4x + 6 = 21/(x² - 4x + 10)
замена: х² - 4х = n
n + 6 = 21/(n + 10)
(n + 6)(n + 10) = 21
n² + 10n + 6n + 60 = 21
n² + 16n + 60 - 21 = 0
n² + 16n + 39 = 0
D = 16² - 4*1*39 = 256 -156 = 100 = 10²
D> 0
n₁ = ( - 16 - 10)/(2 * 1) = - 26/2 = -13
n₂ = (- 16 + 10)/(2 *1) = -6/2 = - 3
x² - 4x = - 13
x² - 4x + 13 = 0
D = (-4)² - 4*1*13 = 16 - 52 = - 36
D<0 нет решений
х² - 4х = - 3
х² - 4х + 3 = 0
D = (-4)² - 4*1*3 = 16 - 12 = 4 = 2²
D>0
x₁ = ( - (-4) - 2)/(2*1) = (4-2)/2 = 2/2 = 1
x₂ = ( - (-4) +2)/(2*1) = (4 +2)/2 = 6/2 = 3
Ответ : х₁ = 1 ; х₂ = 3 .
Полное решение дано на фото.