Question

выделить полный квадрат x^2+2x+12 и x^2+x+2

Answer 1

$x^2 + 2x + 12 = x^2 + 2x + 1 + 11 = (x + 1)^2 + 11\\ x^2 + x + 2 = x^2 + 2*frac{1}{2}x + frac{1}{4} + (2 - frac{1}{4}) = (x + frac{1}{2})^2 + 1frac{3}{4}$

Answer 2

Х²+2х+12=(х²+2х+1)-1+12=(х+1)²+11
х²+х+2=(х²+2*1/2*х+1/4)-1/4+2=(х+0,5)²+1,75