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Mathematics 14 Online
OpenStudy (anonymous):

Last problem for the night! Help? Please and thank you :)

OpenStudy (anonymous):

\[y ^{-2}-13y ^{-1}+40=0\]

OpenStudy (anonymous):

I will start understanding this stuff sooner or later :/

OpenStudy (amistre64):

a = 1/y y = 13/2 +- sqrt(13^2 -4(40))/2

OpenStudy (amistre64):

a = ..... not y lol

OpenStudy (amistre64):

a = 13/2 +- 3/2

OpenStudy (anonymous):

Eh. Let \(u = y^{-1} \implies u^2 - y^{-2} \) Then solve the quadratic the way you usually do \[u^2-13u +40 = 0\]

OpenStudy (amistre64):

a = 16/2 = 8 a = 10/2 = 5

OpenStudy (amistre64):

8 = 1/y ; y=1/8 5 = 1/y ; y = 1/5

OpenStudy (anonymous):

1/8 and 1/5 it is. I will try it out! Thanks

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