# Completing the square

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x^2+14x+98

I think i understand the basics of the method, but in this particular question I'm finding it hard to use the appropriate factors of 98 - 7 and 14 - to factorize 14x.

• Completing the square -

x^2 + 14 x + 98 = 0 I assume

x^2 + 14 x = -98

14/2 = 7
7^2 = 49

x^2 + 14 x + 49 = -98 + 49

(x+7)^2 = -49
square root of a negative number is imaginary
x+7 = -7i or + 7i

x = -7 -7i = -7 (1+i)
or
x = -7 + 7i = -7 (1-i)

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