Question

решите уравнение 24x(x+1=4x²-7

Answer 1

Ответ:

$x_1 = -\frac{11}{20} \\x_2 = -\frac{13}{20}$

Пошаговое объяснение:

$24x(x+1) = 4x^2 - 7\\24x^2 + 24x = 4x^2 - 7\\24x^2+24x - 4x^2 + 7 = 0\\20x^2 + 24x + 7 = 0\\D = (24)^2 - 4*20*7 = 576 - 560 = 16\\x_1 = \frac{-b+\sqrt{D} }{2a} = \frac{-24+\sqrt{4} }{2*20} = - \frac{22}{40} = -\frac{11}{20} \\x_2 = \frac{-b-\sqrt{D} }{2a} = \frac{-24-\sqrt{4} }{2*20} = -\frac{26}{40} = -\frac{13}{20}$