SOLUTION: I cannot understand how to solve the quadratic equation: -1+3x^2=2x I need to use the quadratic formula. My teacher wants us to leave it under the radical symbol if it is not a

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I cannot understand how to solve the quadratic equation: -1+3x^2=2x I need to use the quadratic formula. My teacher wants us to leave it under the radical symbol if it is not a       Log On


   

Question 139225This question is from textbook McDougal Littell Algebra 1
: I cannot understand how to solve the quadratic equation: -1+3x^2=2x
I need to use the quadratic formula. My teacher wants us to leave it under the radical symbol if it is not a perfect square. This question is from textbook McDougal Littell Algebra 1

Found 2 solutions by checkley77, solver91311:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
-1+3x^2=2x
3x^2-2x-1=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x=(2+-sqrt[-2^2-4*3*-1])/2*3
x=(2+-sqrt[4+12])/6
x=(2+-sqrt16)/6
x=(2+-4)/6
x=(2+4)/6
x=1 answer.
x=(2-4)/6
x=-2/6
x=-1/3 answer.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
First, put it into standard form: ax%5E2%2Bbx%2Bc=0

-1%2B3x%5E2=2x
3x%5E2-2x-1=0

Now you can see that a=3, b=-2, and c=-1.

Substitute those values for a, b, and c into x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ and do the arithmetic. You will find that this one is very tidy and well-behaved with a nice neat perfect square under the radical. That is to say, nothing like real life.