Hard question don"t even try it can"t do hard math
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OpenStudy (anonymous):
If x is a positive number such that x2+ 9 x - 22 = 0, Which is the sum of all possible values y satisfying the equation x = y2- 13 y+ 24
OpenStudy (anonymous):
the x to the power of 2
OpenStudy (anonymous):
and y to the power of two
OpenStudy (austinl):
I would love to help, but I'm not entirely sure what you are asking.
OpenStudy (anonymous):
does it help to know that \(x=2\) ?
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OpenStudy (anonymous):
alright i saying like \[x^{2}\]
OpenStudy (anonymous):
in the equation i mean like that
OpenStudy (anonymous):
soorys
OpenStudy (austinl):
I believe we were able to understand that, but what I would like to know is what exactly are we supposed to do?
OpenStudy (anonymous):
\(x=2\)
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OpenStudy (anonymous):
and find he y values that fit the equation and add them all up
OpenStudy (anonymous):
no
OpenStudy (anonymous):
why not?
OpenStudy (anonymous):
ohh i see x = 2
OpenStudy (anonymous):
yes, \(x=2\)
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OpenStudy (anonymous):
wait so how are these equations equal
OpenStudy (anonymous):
i mean related in the equation
OpenStudy (anonymous):
1) solve \(x2+ 9 x - 22 = 0\) and get \(x=2\)
2) set \(2=y^2- 13 y+ 24\) and solve for \(y\)
3) add your answers to part 2
OpenStudy (austinl):
It may get a little more messy, but you could also do substitution.
OpenStudy (anonymous):
lets see i got - 22 = 2y -13y
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OpenStudy (anonymous):
then i get lost right there
OpenStudy (anonymous):
it is a quadratic equation
you need to set it equal to zero and solve
OpenStudy (anonymous):
\[2=y^2- 13 y+ 24\\y^2- 13 y+ 22=0\]etc
OpenStudy (anonymous):
oh sorry bad at this math
OpenStudy (anonymous):
if you are lucky it factors
if you are unlucky you have to use the quadratic formula
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OpenStudy (anonymous):
aww man
OpenStudy (anonymous):
itdoesnt factor
OpenStudy (austinl):
Ah, but it does, quite a nice factor as well!
OpenStudy (anonymous):
try \((x-11)(x-2)=0\)
OpenStudy (anonymous):
do that i doing the work
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OpenStudy (anonymous):
now feel dumb
OpenStudy (austinl):
Don't feel dumb, it just takes lots of practice. Satellite and I have probably been doing algebra for years. I know I have, but I am assuming on satellites part. Don't be discouraged!
OpenStudy (anonymous):
so 11 and 2 equals 13
OpenStudy (anonymous):
I hate being a dumb 9th grader
OpenStudy (anonymous):
algebra just so hard
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OpenStudy (anonymous):
it is just practice is all
and yes, 13 is the sum
OpenStudy (anonymous):
it is not like you are born knowing this, you have to study and practice
that is why you are doing the homework
OpenStudy (austinl):
I have been doing it long enough that algebra has become fun for me!
OpenStudy (anonymous):
no i just love math
OpenStudy (anonymous):
i doing this for fun
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