Mathematics
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OpenStudy (katherinesmith):
Solve the quadratic equation y^2 - 5y = -4 by factoring.
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OpenStudy (yamyam70):
First we must equat it to zero :) , what do you think we will do?
OpenStudy (katherinesmith):
y^2 - 5y + 4 = 0
OpenStudy (yamyam70):
Exactly! then we factor out The left hand side :)
OpenStudy (katherinesmith):
can you help me with that? i'm assuming it's trial and error, which i'm really bad at
OpenStudy (katherinesmith):
(y - 1)(y - 4) ?
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OpenStudy (yamyam70):
Correct :) But don't forget the zero :)
OpenStudy (katherinesmith):
right. so y = 1 and y = 4
OpenStudy (yamyam70):
thats it :)
OpenStudy (katherinesmith):
thank you! can you help me with another
OpenStudy (yamyam70):
Sure :)
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OpenStudy (katherinesmith):
What is the equation of the line which includes points (2, 6) and (0, 0)?
OpenStudy (yamyam70):
Are you given any choices?
OpenStudy (katherinesmith):
y = -3x + 1
y = -3x
y = 3x
y = 3x + 1
OpenStudy (yamyam70):
I see, We know that in our coordinates,
Example (2,6) where, x = 2 , y= 6
OpenStudy (katherinesmith):
okay
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OpenStudy (yamyam70):
Then given the following , try solving for x and y :)
OpenStudy (katherinesmith):
wait...what?
OpenStudy (yamyam70):
Substitution, solve for x by substituting the value, which is 2. :)
OpenStudy (anonymous):
y = 1,4
OpenStudy (anonymous):
\[y-y _{1}=m(x-x _{1}\]
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OpenStudy (katherinesmith):
so you want me to substitute 2 in for x in all 4 of the possible answers?
OpenStudy (yamyam70):
yes:)
OpenStudy (anonymous):
what is the equation to find slope?
OpenStudy (yamyam70):
Please @ninab731 start another session.
OpenStudy (katherinesmith):
okay i'm guessing the answer is C
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OpenStudy (yamyam70):
lets try out c then :)
OpenStudy (katherinesmith):
i did, i got 6
OpenStudy (yamyam70):
Correct :) so that would be the value for y, now solve for x :)
OpenStudy (katherinesmith):
that gave me -6 = 6
OpenStudy (katherinesmith):
or wait oops
6 = 6
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OpenStudy (yamyam70):
when , solving for x, you don't need to substitute x, you just substitute the value of y you got earlier :)
OpenStudy (katherinesmith):
so C
OpenStudy (yamyam70):
for the coordinate (2,6) C is indeed the answer :) I guess you can figure out how to solve (0,0) :)
OpenStudy (katherinesmith):
if i open a new question can you help me? @yamyam70
OpenStudy (yamyam70):
Sure :)