SOLUTION: Which of the following are solutions to: sec2x-6secx-7=0 A. arcsec(7) or arcsec(-1) B. arcsec(-7) or arcsec(-1) C. arcsec(7) or arcsec(1) D. arcsec(-7) or

Algebra ->  Trigonometry-basics -> SOLUTION: Which of the following are solutions to: sec2x-6secx-7=0 A. arcsec(7) or arcsec(-1) B. arcsec(-7) or arcsec(-1) C. arcsec(7) or arcsec(1) D. arcsec(-7) or       Log On


   

Question 979394: Which of the following are solutions to:
sec2x-6secx-7=0
A.
arcsec(7) or arcsec(-1)
B.
arcsec(-7) or arcsec(-1)
C.
arcsec(7) or arcsec(1)
D.
arcsec(-7) or arcsec(1)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
sec%5E2%28x%29-6sec%28x%29-7=0--->%28sec%28x%29-7%29%28sec%28x%29%2B1%29=0
(factoring just like you would do u%5E2-6u-7=0--->%28u-7%29%28u%2B1%29=0 )
%28sec%28x%29-7%29%28sec%28x%29%2B1%29=0--->system%28sec%28x%29-7=0%2C%22or%22%2Csec%28x%29%2B1=0%29--->system%28sec%28x%29=7%2C%22or%22%2Csec%28x%29=-1%29
So, option highlight%28A%29 lists two solutions.