Mathematics
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OpenStudy (anonymous):
square root 8x - 20 - square root 12
answers: x = –1, x = 15, x = 4, or None of the above
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OpenStudy (pfenn1):
Do you mean\[\sqrt{8x-20}=\sqrt{12}\]
OpenStudy (anonymous):
yes
OpenStudy (pfenn1):
\[\sqrt{8x-20}=\sqrt{(2\times2\times2)x-(2\times2\times5)}=2\sqrt{2x-5}\]
\[\sqrt{12}=\sqrt{2\times2\times3}=2\sqrt{3}\]
OpenStudy (anonymous):
so which one of the answers i put above is it?
OpenStudy (anonymous):
4?
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OpenStudy (pfenn1):
\[\sqrt{8x-20}=\sqrt{12}\]
can be simplified to
\[2\sqrt{2x-5}=2\sqrt{3}\]
OpenStudy (pfenn1):
Can you simplify it further?
OpenStudy (anonymous):
so...which one is it?
no i cant :(
OpenStudy (pfenn1):
subtract 2 from both sides and then square each side and solve for x
OpenStudy (anonymous):
can you show me?
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OpenStudy (pfenn1):
if you subtract 2 from both sides you get\[\sqrt{2x-5}=\sqrt{3}\]
OpenStudy (anonymous):
so then it would be -1, or none of the above?
OpenStudy (pfenn1):
square each side to get\[2x-5 = 3\] and solve for x to get
OpenStudy (pfenn1):
\[x=\left( 5+3 \over 2 \right)\]
OpenStudy (anonymous):
6.2?
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OpenStudy (pfenn1):
\[x=\left( 3+5\over2 \right)=\left( 8 \over 2 \right)=4\]
OpenStudy (anonymous):
can you help me with another?
OpenStudy (pfenn1):
sure
OpenStudy (anonymous):
Solve.
|dw:1335841833758:dw|
OpenStudy (anonymous):
thats a 7 btw
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OpenStudy (pfenn1):
\[-5\sqrt{x-9}-7 = 23\]
Is this correct?
OpenStudy (anonymous):
yes
OpenStudy (pfenn1):
ok
\[-5\sqrt{x-9}=30\]
divide each side by -5\[\sqrt{x-9}=-6\]
OpenStudy (pfenn1):
can you solve for x from here?