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Mathematics 18 Online
OpenStudy (anonymous):

x^2+12x+36=0

OpenStudy (anonymous):

factor it out: \[(x + 6)^2 = 0\] \[x+6 = 0\] \[x = -6\] both factors are the same, so \[x _{1/2} = -6\]

OpenStudy (anonymous):

what about (x+8)(x+8)=0 @Kiro

OpenStudy (anonymous):

same, both terms are the same (x+8) so they give the same answer, consider each to be = 0, so you get \[x+8 = 0\]\[x=-8\] So, \[x _{1/2}=-8\] If you had two different terms in parentheses, and 2 different radicals, respectfully.

OpenStudy (anonymous):

and if it was the opposite (x-8)(x-8)

OpenStudy (anonymous):

would it be 8

OpenStudy (anonymous):

@Kiro

OpenStudy (anonymous):

Yes, exactly, just solve the linear equation for each term, if they are the same, just solve for one of them and you're good ;)

OpenStudy (anonymous):

x^2-10x+25 would it be 5 or negative five @Kiro

OpenStudy (anonymous):

=0

OpenStudy (anonymous):

factor it and you will see, I trust that you know how to factor a quadratic equation?

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