SOLUTION: 3x^2-x-1=0 I'm trying to do it with the quadratic formula but I'm a little lost

Question 176943: 3x^2-x-1=0 I'm trying to do it with the quadratic formula but I'm a little lost
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Notice we have a quadratic equation 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

Rewrite as

Add to to get

Multiply and to get .

or Break up the expression.

So the answers are or

which approximate to or

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
3x^2-x-1=0
--------------
x = [1 +- sqrt(1 - 4*3*-1)]/6
x = [1 +- sqrt(1 + 12)]/6
x = [1 +- sqrt(13)]/6
x = 0.7440169... or x = -0.4106836...
Cheers,
Stan H.
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