Time remaining:
How do I solve this problem

Algebra
Tutor: None Selected Time limit: 0 Hours

1/x to the second power + 1/2=1/2xto the second power 

Mar 20th, 2015

(1/x)^2 + 1/2 = (1/2) x^2

Clearly,

1/x^2 + 1/2 -  (1/2)x^2 = 0

Take LCM , 2x^2 and solve

( 2 + x^2 - x^4)/2x^2 = 0

Taking denominotor to other side, hence it will geet multiplied by 0 hence will become 0.

2 + x ^2 - x^4 = 0

x ^4 - x ^2 - 2 = 0

x ^4 - 2 x ^2 + x ^2 - 2 = 0 

x ^2 ( x^2 - 2 ) + 1 ( x ^2 - 2 )  = 0

( x ^2 + 1 ) ( x^2 - 2 ) = 0

x ^2 + 1 = 0 or x ^- 2 = 0

Ignoring 1st case as it will give completx roots.

x^2 - 2 = 0

x^2 = 2

x = (+ root 2 ) and ( - root 2)



Mar 20th, 2015

Did you get it ?

Mar 20th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Mar 20th, 2015
...
Mar 20th, 2015
Mar 24th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer