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

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

Explanation:

Remove parenthesis:

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

`x_(1,\:2)=(-2\pm √(2^2-4\cdot \:1\cdot \left(-a^2-4a-3\right)))/(2\cdot \:1)`

`x_(1,\:2)=(-2\pm \:2\left(a+2\right))/(2\cdot \:1)`

`x_1=(-2+2\left(a+2\right))/(2\cdot \:1),\:x_2=(-2-2\left(a+2\right))/(2\cdot \:1)`

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

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