Question

(2x-3)^2=16 решите уравнение

Answer 1

Объяснение:

$(2x - 3) {}^{2} = 16$

$4x {}^{2} - 12x + 9 = 16$

$4x {}^{2} - 12x + 9 - 16 = 0$

$4x {}^{2} - 12x - 7 = 0$

D=144-4*-7*4=256

$x1 = \frac{12 + 16}{8} = \frac{7}{2} = 3.5$

$x2 = \frac{12 - 16}{8} = \frac{ - 4}{8} = - 0.5$