20x^2 - 50x = 60 + 20x + 10;
20x^2 - 50x - 20x - 60 - 10 = 0;
20x^2 - 70x - 70 = 0; Доделим все уравнение на 10
2x^2 - 7x - 7 = 0;
D = b^2-4ac = 49 + 56 = 105; √D = √105;
x1 = (-b-√D)/2a = (7-√105)/4.
x2 = (-b+√D)/2a = (7+√105)/4.
Ответ: (7-√105)/4; (7+√105)/4.
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20x^2 - 50x = 60 + 20x + 10;
20x^2 - 50x - 20x - 60 - 10 = 0;
20x^2 - 70x - 70 = 0; Доделим все уравнение на 10
2x^2 - 7x - 7 = 0;
D = b^2-4ac = 49 + 56 = 105; √D = √105;
x1 = (-b-√D)/2a = (7-√105)/4.
x2 = (-b+√D)/2a = (7+√105)/4.
Ответ: (7-√105)/4; (7+√105)/4.