Question

Ayuda por favor x^(2)+2x-a^(2)-4a-3

Answer 1

Translating:

Please help

I believe you want me to factor it, so:

( x + 1/2 )^2 + ( a - 2 )^2 - 14/2

Answer 2

Answer:

$x=a+1,\:x=-a-3$

Step-by-step explanation:

Remove parenthesis:

$x^2+2x-a^2-4a-3=0$

$x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-a^2-4a-3\right)}}{2\cdot \:1}$

$x_{1,\:2}=\frac{-2\pm \:2\left(a+2\right)}{2\cdot \:1}$

$x_1=\frac{-2+2\left(a+2\right)}{2\cdot \:1},\:x_2=\frac{-2-2\left(a+2\right)}{2\cdot \:1}$

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=a+1,\:x=-a-3$