SOLUTION: Practice Quadratic Equations Solve this on paper, preferably without a calculator: 3x2-6x+3 = 0 After you are done, you can click this button to see the solution, to check if

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Practice Quadratic Equations Solve this on paper, preferably without a calculator: 3x2-6x+3 = 0 After you are done, you can click this button to see the solution, to check if      Log On


   

Question 152737: Practice Quadratic Equations
Solve this on paper, preferably without a calculator:
3x2-6x+3 = 0
After you are done, you can click this button to see the solution, to check if you got it right.

Or Try Another Practice Equation.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3x%5E2-6x%2B3=0 Start with the given equation.


Notice we have a quadratic equation in the form of ax%5E2%2Bbx%2Bc where a=3, b=-6, and c=3


Let's use the quadratic formula to solve for x


x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29 Start with the quadratic formula


x+=+%28-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%283%29%283%29+%29%29%2F%282%283%29%29 Plug in a=3, b=-6, and c=3


x+=+%286+%2B-+sqrt%28+%28-6%29%5E2-4%283%29%283%29+%29%29%2F%282%283%29%29 Negate -6 to get 6.


x+=+%286+%2B-+sqrt%28+36-4%283%29%283%29+%29%29%2F%282%283%29%29 Square -6 to get 36.


x+=+%286+%2B-+sqrt%28+36-36+%29%29%2F%282%283%29%29 Multiply 4%283%29%283%29 to get 36


x+=+%286+%2B-+sqrt%28+0+%29%29%2F%282%283%29%29 Subtract 36 from 36 to get 0


x+=+%286+%2B-+sqrt%28+0+%29%29%2F%286%29 Multiply 2 and 3 to get 6.


x+=+%286+%2B-+0%29%2F%286%29 Take the square root of 0 to get 0.


x+=+%286+%2B+0%29%2F%286%29 or x+=+%286+-+0%29%2F%286%29 Break up the expression.


x+=+%286%29%2F%286%29 or x+=++%286%29%2F%286%29 Combine like terms.


x+=+1 or x+=+1 Simplify.


So the only solution is x+=+1