SOLUTION: Solve the following equation for 0 ≤ x < 360.
tan²x - tan(x) = 2
It's either,
135 degrees
315 degrees
Neither
Algebra.Com
Question 1064091: Solve the following equation for 0 ≤ x < 360.
tan²x - tan(x) = 2
It's either,
135 degrees
315 degrees
Neither
Found 2 solutions by ikleyn, solver91311:
Answer by ikleyn(52800) (Show Source): You can put this solution on YOUR website!
.
135 degs is good.
315 degs is good, too.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Can't answer this the way you have the answer selections worded.
\ -\ \tan(x)\ =\ 2)
\ -\ \tan(x)\ -\ 2\ =\ 0)
\ -\ 2)(\tan(x)\ +\ 1)\ =\ 0)
\ =\ 2)
\ \approx\ 63.435^\circ\ \pm\ k180^\circ)
where 
So in the interval 
, \ \approx\ 63.435^\circ)
or \ \approx\ 243.435^\circ)
\ =\ -1)
\ =\ 135^\circ\ \pm\ k180^\circ)
where
So in the interval , \ =\ 135^\circ)
or \ =\ 315^\circ)
John
My calculator said it, I believe it, that settles it
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