Выделите квадрат двучлена в таких тричленах:
1) а^2+6а+13
2) х^2+8х+21
3) х^2-10х+27
4) х^2-2х+2
5) 36^2+85х+50
6) 4х^2+15-12х
1) а^2+6а+13
2) х^2+8х+21
3) х^2-10х+27
4) х^2-2х+2
5) 36^2+85х+50
6) 4х^2+15-12х
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Answers & Comments
2) х^2 +8х +21 = x^2 +2*4x +16 +5 = (x+4)^2 +5
3) х^2 -10х +27 = x^2 -2*5x +25 +2 = (x-5)^2 +2
4) х^2 -2х +2 = x^2 -2*1x +1 +1 = (x-1)^2 +1
5) 36^2 +85х +50 = (6x)^2 +2*7*6x +49 +x +1 = (6x+7)^2 +x +1
6) 4х^2 +15 -12х = (2x)^2 -2*3*2x +9 +6 = (2x-3)^2 +6