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OpenStudy (anonymous):
Solve the equation.
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OpenStudy (anonymous):
|dw:1410845899909:dw|
OpenStudy (anonymous):
@campbell_st
OpenStudy (anonymous):
@texaschic101
OpenStudy (anonymous):
@adrynicoleb
OpenStudy (texaschic101):
is it : 5 / (x + 2) = x / 3 ??
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OpenStudy (texaschic101):
hello ?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
its : 5 / x + 2 = x / 3
OpenStudy (texaschic101):
I believe you have a proportion
5 / (x + 2) = x / 3
cross multiply
x(x + 2) = (3)(5)
x^2 + 2x = 15
are you understanding this so far ?
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
wait but its not a proportion? It says equation
OpenStudy (anonymous):
Solve\[x^2+2 x-15=0 \]for x.
OpenStudy (texaschic101):
exactly
OpenStudy (anonymous):
wait :3
OpenStudy (anonymous):
x = {-5, 3}
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OpenStudy (anonymous):
@robtobey @texaschic101
OpenStudy (texaschic101):
we will continue..
x^2 + 2x = 15
x^2 + 2x - 15 = 0
(x + 5)(x - 3) = 0
x + 5 = 0
x = -5
x - 3 = 0
x = 3
so your answers are : x = -5 and x = 3
OpenStudy (anonymous):
So the final answer would be x = {-5, 3} ?
OpenStudy (texaschic101):
yep
OpenStudy (anonymous):
oh ok what about '' 2/y + 1/3 = 4/y''
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OpenStudy (texaschic101):
2y + 1/3 = 4y --- subtract 2y from both sides
1/3 = 4y - 2y
1/3 = 2y -- divide both sides by 2
(1/3) / 2 = y
1/3 * 1/2 = y
1/6 = y
any questions ?
OpenStudy (anonymous):
yeah so what would the final answer be?
OpenStudy (texaschic101):
y = 1/6
OpenStudy (anonymous):
tysm! (:
OpenStudy (texaschic101):
sure thing :)
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