X²<span> - 8x + 7 = 0
D = -4</span>² - 7 = 9 = 3²
x₁ = 4 + 3 = 7
x₂ = 4 - 3 = 1
Ответ: 7; 1
Вот, вроде бы так) надеюсь почерк поймешь
sin^2 α + cos^2 α = 1 (основное тригонометрическое тождество)
sin^2 α + cos^2 α = 1 l : cos^2 α ; cosα не равен 0
tg^2 α + 1 = 1/cos^2 α
2.10 b) a² -ac +bc -ab =a(a -c) -b(a -c) =(a -c)(a -b)
(a+2b)/3(a -b) -(3c -a)/2(a-c) +(a² -bc)/(a -c)(a -b) =
=(2(a-c)(a+2b) -3(a-b)(3c-a) +6(a²-bc)) /6(a-c)(a-b) =
=(2(a²+2ab-ac-2bc) -3(3ac-a² -3bc+ab) +6a² -6bc) /6(a -c)(a -b) =
=(2a²+4ab -2ac-4bc -9ac +3a² +9bc -3ab +6a² -6bc) /6(a -c)(a -b) =
=(11a² +ab -11ac -bc) /6(a -c)(a -b) =
=11a(a -c) +b(a -c)) /6(a -c)(a -b) =
=(a -c)(11a +b) /6(a -c)(a -b) =
=(11a +b) /6(a -b) =(11/6 -1) /6(1/6 +1) =
=(11-6)/6 : 6*7/6 =5/6 : 7 =5/6 *1/7 =5/42