(x+4)^2+14=(x-2)^2+2 wiem ze ma wyjsc -2
Korzystamy ze wzoru:
(a+b)²=a²+2ab+b²
i
(a-b)²=a²-2ab+b²
(x+4)²+14=(x-2)²+2
x²+8x+16+14=x²-4x+4+2
x²-x²+8x+4x=6-16-14
12x=-24|:12
x=-2
x² + 8x + 16 + 14 = x² - 4x + 4 + 2
8x + 30 = -4x + 6
8x + 4x = 6 - 30
12x = -24
x = -24 : 12
x = -2
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Korzystamy ze wzoru:
(a+b)²=a²+2ab+b²
i
(a-b)²=a²-2ab+b²
(x+4)²+14=(x-2)²+2
x²+8x+16+14=x²-4x+4+2
x²-x²+8x+4x=6-16-14
12x=-24|:12
x=-2
(x+4)²+14=(x-2)²+2
x² + 8x + 16 + 14 = x² - 4x + 4 + 2
8x + 30 = -4x + 6
8x + 4x = 6 - 30
12x = -24
x = -24 : 12
x = -2