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Mathematics
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OpenStudy (brittany):
solve by factoring or quadratic formula
x^2-8x+16x=0
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OpenStudy (dumbcow):
This is a perfect square.
The middle number is double the square root of last number.
sqrt(16) = 4
x^2 -8x+16 = (x-4)^2
OpenStudy (brittany):
and then what?
OpenStudy (dumbcow):
wait is that supposed to be "16x" , didn;t see that
OpenStudy (brittany):
no just 16 sorry
OpenStudy (dumbcow):
well now its in factored form
(x-4)^2 = 0
solve for x
square root both sides
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OpenStudy (brittany):
im confused how do u solve tht equation??
OpenStudy (dumbcow):
im telling you how
Take square root of both sides
what do you get?
OpenStudy (brittany):
i dont know?
OpenStudy (brittany):
shouldnt the factored form be like (x+4)(x+4)
OpenStudy (dumbcow):
yes that is another way of writing it, except it should be (x-4)(x-4)
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OpenStudy (brittany):
so then whats the next step after (x-4)(x-4)
OpenStudy (dumbcow):
find a x value that makes (x-4) = 0
x-4 = 0
solve for x
OpenStudy (brittany):
x=4
OpenStudy (dumbcow):
btw
\[\sqrt{(x-4)^{2}} = x-4\]
that is important to know
the square root always cancels out the square
OpenStudy (dumbcow):
yes
answer is x=4
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OpenStudy (brittany):
thanks
OpenStudy (dumbcow):
your welcome
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