Question

решить уравнение 5*(x-10)²=(2-x)²

Answer 1

$5 \times (x {}^{2} - 20x + 100) = 4 - 4x + x {}^{2}$
$5x {}^{2} - 100x + 500 = 4 - 4x + x {}^{2}$
$4x {}^{2} - 96x + 496 = 0$
$x {}^{2} - 24x + 124 = 0$
$d = b {}^{2} - 4ac = 576 - 496 = 80$
$x1 = \frac{24 + \sqrt{80} }{2} = 12 + \sqrt{80}$
$x2 = \frac{24 - \sqrt{80} }{2} = 12 - \sqrt{80}$