SOLUTION: Find the solutions of x 3 square - 5x 2 square - x + 5 = 0. (eg.2) I use College Algebra ISBN-13 978-0-618-77629-0 Thanks

Algebra ->  Inequalities -> SOLUTION: Find the solutions of x 3 square - 5x 2 square - x + 5 = 0. (eg.2) I use College Algebra ISBN-13 978-0-618-77629-0 Thanks      Log On


   

Question 145560:
Find the solutions of x 3 square - 5x 2 square - x + 5 = 0. (eg.2)
I use College Algebra ISBN-13 978-0-618-77629-0
Thanks
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
x%5E3-5x%5E2-x%2B5+=+0 Factor the left side.
%28x%5E2-1%29%28x-5%29+=+0 Appply the zero product rule: Ifa%2Ab+=+0 thena+=+0 or b+=+0 or both.
x%5E2-1+=+0 or x-5+=+0
If x%5E2-1+=+0 then x%5E2+=+1 and x+=+1 or x+=+-1
If x-5+=+0 then x+=+5
The solutions are:
x+=+1
x+=+-1
x+=+5