Mathematics
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OpenStudy (anonymous):
solution. can i please just have the answer. please.
x2 + 10x + 25 = 8
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OpenStudy (anonymous):
Just post all your homework here. Glad to do it for you.
OpenStudy (anonymous):
x2+35x=8 is wrong right.
OpenStudy (anonymous):
yes, they want you to solve for x
OpenStudy (anonymous):
yes well i can't even simplify from the original problem. i am trying to put it into the formula but I'm not doing it right.
OpenStudy (anonymous):
First you have to get all terms on one side and 0 on the other side
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OpenStudy (anonymous):
subtract 25 from 8
OpenStudy (anonymous):
subtract 8 from 25
OpenStudy (anonymous):
okay so x^2+10x+8=0
OpenStudy (anonymous):
no
OpenStudy (anonymous):
x^2+10x+25-8=0
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OpenStudy (anonymous):
x^2+10x+17=0
OpenStudy (anonymous):
thats okay yeah my bad. i got that.
OpenStudy (anonymous):
so you have it in the form of ax^2+bx+c=0
what are a,b,c?
OpenStudy (anonymous):
a= x^2 b=10x c=0
OpenStudy (anonymous):
but the 17?
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OpenStudy (anonymous):
just add it or...
OpenStudy (anonymous):
no, a, b, and c are coefficients, you don't include the variables
OpenStudy (anonymous):
a=1, b=10, c=17
OpenStudy (anonymous):
alright. i got that. thanks for going through this with my btw...
OpenStudy (anonymous):
sure
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OpenStudy (anonymous):
do you know the quadratic formula?
OpenStudy (anonymous):
no.
OpenStudy (anonymous):
\[x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]
OpenStudy (anonymous):
o.o alright can you step me through that i don't know what the sign is after the b which is -10 right?
OpenStudy (anonymous):
thats a plus or minus, means there are 2 solutions, similar to this:\[x=\frac{-b + \sqrt{b^2-4ac}}{2a}, \frac{-b - \sqrt{b^2-4ac}}{2a}\]
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OpenStudy (anonymous):
-b is -10
OpenStudy (anonymous):
ah. alright that makes sense.
OpenStudy (anonymous):
\[x=\frac{-10 + \sqrt{10^2-4(1)(17)}}{2(1)}\]
and
\[x=\frac{-10 - \sqrt{10^2-4(1)(17)}}{2(1)}\]
OpenStudy (anonymous):
alright so all i do is "do it" right?
OpenStudy (anonymous):
yea, simplify it
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OpenStudy (anonymous):
alright. so 10 squared is 100 - 4 = 96 multiplied by 17? i can't be doing this right
OpenStudy (anonymous):
PEMDAS, multiplication and division come before addition and subtraction
OpenStudy (anonymous):
okay so i square the 10 then times 17 by 1 and then by four?
OpenStudy (anonymous):
100-[4*1*17]
OpenStudy (anonymous):
32
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OpenStudy (anonymous):
\[x=\frac{-10 \pm \sqrt{32}}{2}\]
simplifiy more, the radical can be simplified
OpenStudy (anonymous):
the sqr of 32 is 5 ?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
:I six if i round?
OpenStudy (anonymous):
\[\sqrt{32}=\sqrt{16*2}=\sqrt{16}*\sqrt{2}=4\sqrt{2}\]
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OpenStudy (anonymous):
ah... okay and then i ...
OpenStudy (anonymous):
simplify more
OpenStudy (anonymous):
can i add at this point because i can't exactly divide?
OpenStudy (anonymous):
\[x=\frac{-10 \pm 4\sqrt{2}}{2}=-5 \pm 2\sqrt{2}\]
OpenStudy (anonymous):
thats it
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OpenStudy (anonymous):
thank you for stepping me through that dockworker
OpenStudy (anonymous):
you're welcome