Mathematics
19 Online
OpenStudy (anonymous):
solve the equation sqrt x+12=x
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OpenStudy (angela210793):
is it all (x+12) under sqr?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
\[\sqrt{x+12}=x\]
OpenStudy (anonymous):
that is what it looks like
OpenStudy (angela210793):
raise to the 2nd power both sides
x+12-x^2=0
do u know how to go further?
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OpenStudy (anonymous):
somewhat
OpenStudy (angela210793):
D=b^2-4ac
OpenStudy (sasogeek):
do u own a graphing calculator?
OpenStudy (anonymous):
\[ x+12= x^{2}\]
OpenStudy (anonymous):
\[x^{2}-x-12=0\]
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OpenStudy (anonymous):
\[\sqrt{x+12}\]
\[\sqrt{x+12}^{2}=x ^{2} \]
\[x+12=x^2\]
OpenStudy (anonymous):
(x-4)(x+3) x=4 and -3
OpenStudy (anonymous):
@mathballet how did you get that
OpenStudy (anonymous):
plug in to check for extraneous
OpenStudy (anonymous):
move the x^2 over to the other side correct
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OpenStudy (anonymous):
brought everything to one side
OpenStudy (anonymous):
no dont move x^2
OpenStudy (anonymous):
\[-x^2 + x + 12 = 0;\ x \ge -12\]
OpenStudy (anonymous):
so move x+12
OpenStudy (anonymous):
You can move to either side.
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OpenStudy (anonymous):
You get the same results.
OpenStudy (anonymous):
move x and 12
OpenStudy (anonymous):
Jenni, you're fine moving the x^2 if you'd rather. You get the same thing.
OpenStudy (anonymous):
its easier when factoring if u move x and 12
OpenStudy (anonymous):
Ah, yeah. if you're going to factor it's easier if you have a positive coefficient.
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OpenStudy (anonymous):
ok so its (x+3)(x+4)?
OpenStudy (anonymous):
(x+3)(x-4) = 0
OpenStudy (anonymous):
(x-4)(x+3)
OpenStudy (anonymous):
but that would make -x-12+x^2=0
OpenStudy (anonymous):
if i move the x+12 to the other side
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OpenStudy (anonymous):
xactly