Задача №820
Найдите корень уравнения:
а) (х - 5)2 - х2 = 3; в) 9х2 - 1 - (3х - 2)2 = 0;
б) (2у + 1)2 - 4y2 = 5; г) х + (5x + 2)2 = 25(1 + х2).
Решение задачи №820:
1820. | a) (x - 5)2 - x2 = 3 =t- x2 - 10a: + 25 - x2 = 3 => => lOx = 22 => x = 2,2;
б) (2y + l)2 - 4y2 = 5 => Ay* + Ay +1 - Ay2 = 5 =S» Ay = = 4 => у = 1;
в) 9x2 -1 - (3x - 2)2 = 0 => 9x2 - 1 - 9x2 + 12x - 4 = = 0=> 12x = 5=>x=
r) x + (5x + 2)2 = 25 • (1+ x2) => X + 25x2 + 20x + 4 = = 25 + 25x2 => 21x = 21 =>¦ x = 1.
Оцените это ГДЗ:
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