SOLUTION: solve the quadratic equation by using the COMPLETING THE SQUARE method and applying the square root property. {{{n^2-2/3n=1/9}}}

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Question 331424: solve the quadratic equation by using the COMPLETING THE SQUARE method and applying the square root property.


Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Solve the quadratic equation by using the COMPLETING THE SQUARE method and
applying the square root property.
;
I think the problem should be:

:

:
= completes the square
=
=
=
Find the square root of both sides
= +/-
Extract 1/3 from 1/9
= +/-
n = +/-
Two solutions
n =
and
n =
:
//////////////////
One way to check this problem:
Use a cal, find that the approx decimal value for = .8047
Substitute this value for n in the original problem find the value
.8047^2 -(.8047) = .111 which is the decimal value of 1/9, ,1111
confirms our solution, you can do the same with

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