SOLUTION: 36x^2-12x+1=0

Question 499460: 36x^2-12x+1=0
Found 2 solutions by jim_thompson5910, oberobic:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the only solution is

Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
factor
36x^2 -12x + 1 = 0
(6x-1)(6x-1) = 0
.
Check with FOIL
36x^2 -6x -6x +1
OK
.
x = 1/6
.

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