Х²-y²=63
x+y=7
1)x+y=7
x=7-y
______
2)(7-y)²-y²=63
49-14y+y²-y²=63
-14y=63-49
-14y=14
y=14/(-14)
y=-1
____________
3)x=7-(-1)=7+1=8
Ответ:(8;-1)
Tga=3/2(по условию) => ctga = 1 : 3/2 = 2/3
Тогда:
(tga+ctga)/(tga-ctga)=(3/2+2/3)(3/2-2/3) = ((9+4)/6)/((9-4)/6) =
= 13/6 : 5/6 = 13/5
25 - 4x² + 4xy - y² = 25 - (4x² - 4xy + y²) = 25 - (2x - y)² = 5² - (2x - y)² =
= (5 - 2x + y)(5 + 2x - y)
=4x^4 +2x -(x² -4) -4x^3 -4 =4x^4 +2x -x² +4 -4x^3 -4 =4x^4 -4x^3 -x² +2x