Вправи 1001 - 1100 » 1087 (е-ж)

е) (〖2a〗^2- 5a+2)/(〖3a〗^2- 3,5a+1) = (2(a-2)(a-0,5))/(3(a- 2/3)(a-0,5)) = (2a-4)/(3a-2); a = (5 ± √(25-16))/4 = (5 ±3)/4; a1 = 2; a2 = 0,5; a = (3,5 ±√(12,25-12))/6 = (3,5 ±0,5)/( 6); a_1^' = 2/3; a_2^' = 1/2; є) (a^2+ 9a+14)/(a^2+ 10a+21) = ((a+7)(a+2))/((a+7)(a+3)) = (a+2)/(a+3); ж) (c^2+ √5 c-10)/(c^2- 3√5 c+10) = ((c- √5)(c+2√5))/((c-2√5)(c- √5)) = (c+2√5)/(c-2√5); c = (-√(5 )± √(5+40))/2 = (-√5 ±3√5)/2; c1 = (2√5)/2 = √5; c2 = (-4√5)/2 = –2√5; c’ = (3√(5 )± √(45-40))/2 = (3√5 ±√5)/2; c_1^' = (4√5)/2 = 2√5; c_2^' = (2√5)/2 = √5.