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OpenStudy (anonymous):
\[x^2-14x+43=0\]
I subtracted and got \[x^2-14x=-43\]
and then did (\[(-14/2)^2 = 49\]
but when i subtract it from both sides I get (-43-49) = -92
but you can't have a negative square root.. what did I do wrong?
OpenStudy (freckles):
add 49 on both sides
OpenStudy (anonymous):
Okay! So if it's positive you write it down as subtracting?
OpenStudy (freckles):
you will always add that ( b/2)^2 thingy to both sides
no subractys
OpenStudy (anonymous):
OH OKAY I THINK I GOT IT NOW! (sorry I'm excited)
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OpenStudy (anonymous):
So I added and got
\[x^2-14x=\sqrt{6}\]
so the form would be \[(x-7)^2=6\]
and then I did \[\pm \sqrt{6}+7 = 9.44, 4.56\]
OpenStudy (freckles):
wow you did it
OpenStudy (freckles):
good job
OpenStudy (anonymous):
I'm so happy, the struggle to understand this was insane! Thank you so much, I wouldn't have been able to do it without you.
OpenStudy (freckles):
np
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OpenStudy (freckles):
and also fantastic job
and keep up the good work :)