Question

X² + 2 (m- 1) x + m² = 0

Answer 1

$x^2+2\left(m-1\right)x+m^2=0$
$\mathrm{Para\:una\:ecuacion\:de\:segundo\:grado\:de\:la\:forma\:}ax^2+bx+c=0\mathrm{\:las\:soluciones\:son\:}:$
$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$
$\mathrm{Para\:}\quad a=1,\:b=2m-2,\:c=m^2:\quad x_{1,\:2}=\frac{-\left(2m-2\right)\pm \sqrt{\left(2m-2\right)^2-4\cdot \:1m^2}}{2\cdot \:1}$
$x_{1}=\sqrt{-2m+1}+1-m,\: x_{2}=1-m-\sqrt{-2m+1}$