SOLUTION: I'm really confused right now on this problem; 6x^2-12x+1=0 This is what I have done so far, {{{ x=-(-12)+ sqrt(-12^2-4(6)(1))/2(6) }}} {{{ x=12+ sqrt (144-24)/12 }}} {{{ x

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: I'm really confused right now on this problem; 6x^2-12x+1=0 This is what I have done so far, {{{ x=-(-12)+ sqrt(-12^2-4(6)(1))/2(6) }}} {{{ x=12+ sqrt (144-24)/12 }}} {{{ x      Log On


   

Question 422595: I'm really confused right now on this problem;
6x^2-12x+1=0
This is what I have done so far,
+x=-%28-12%29%2B+sqrt%28-12%5E2-4%286%29%281%29%29%2F2%286%29+
+x=12%2B+sqrt+%28144-24%29%2F12+
+x=12%2B+sqrt+%28120%29%2F12+
x=12+ sqrt 12+?/12 <-- The part I'm stuck on
I know I'm almost done and that the answer won't be a nice perfect number
And I used the equation solver thing, but the answer won't help unless I understand how it got there, xD
Anyways
Sorry if I didn't write the formula right,
Thanks in advance too. ^^
Found 2 solutions by Edwin McCravy, Gogonati:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
I'm really confused right now on this problem;
6x^2-12x+1=0
This is what I have done so far,
+x=-%28-12%29%2B+sqrt%28-12%5E2-4%286%29%281%29%29%2F2%286%29+
+x=12%2B+sqrt+%28144-24%29%2F12+
+x=12%2B+sqrt+%28120%29%2F12+
x=12+ sqrt 12+?/12 <-- The part I'm stuck on
I know I'm almost done and that the answer won't be a nice perfect number
And I used the equation solver thing, but the answer won't help unless I understand how it got there, xD
Anyways
Sorry if I didn't write the formula right,
Thanks in advance too. ^^ 


The quadratic formula is

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

not this

cross%28x+=+-b+%2B+sqrt%28+b%5E2-4%2Aa%2Ac+%29%2F%282%2Aa%29%29+

The other tutor used this form too, and that's wrong because 
the -b term must also be on top of the fraction bar.  Also
there must be a double sign ±, not just +.

The first three steps should be

+x=%28-%28-12%29+%2B-+sqrt%28%28-12%29%5E2-4%286%29%281%29%29%29%2F2%286%29+
+x=%2812+%2B-+sqrt+%28144-24%29%29%2F12+ 
+x=%2812+%2B-+sqrt+%28120%29%29%2F12+

and then:

+x=%2812+%2B-+sqrt+%284%2A30%29%29%2F12+
+x=%2812+%2B-+2sqrt+%2830%29%29%2F12+
+x=%282%286+%2B-+sqrt+%2830%29%29%29%2F12+
+x=%286+%2B-+sqrt+%2830%29%29%2F6+

Edwin

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Don't be confused you are doing very well. The roots of the equation are two:
x+=+12%2B-sqrt%28120%29%2F12
+x+=+6%2Bsqrt%2830%29%2F6 and
x+=+6-sqrt%2830%29%2F6