SOLUTION: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer      Log On


   

Question 449462: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
6x^2-1=2x
x = ?
x = ?
Please show me the steps to get the steps.
Answer by aagam94(6) About Me  (Show Source):
You can put this solution on YOUR website!
The equation is:
6x^2-1=2x
Now using the formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

Here,
a=6
b=-2
c=-1
For these solutions to exist, the discriminant should not be a negative number.
First, we need to compute the discriminant : d=b^2-4a*c...
Solving we get d=28
Discriminant d=28 is greater than zero. That means that there are two solutions:
The formula is:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
By substituting the values of a,b,c in the above equation we get the answers as:
x=0.207625
x=-0.274291