SOLUTION: I'm not sure how to solve this problem and could use your help: Find the exact solutions and simplify as much as possible: 2x^2 + 3 = 6x am I moving the 6x to the left and

Algebra ->  Real-numbers -> SOLUTION: I'm not sure how to solve this problem and could use your help: Find the exact solutions and simplify as much as possible: 2x^2 + 3 = 6x am I moving the 6x to the left and       Log On


   

Question 1040578: I'm not sure how to solve this problem and could use your help:
Find the exact solutions and simplify as much as possible:
2x^2 + 3 = 6x
am I moving the 6x to the left and the 3 to the right side and combining the x's then dividing?
I really appreciate any guidance!
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
I'm not sure how to solve this problem and could use your help:
Find the exact solutions and simplify as much as possible:
2x^2 + 3 = 6x
am I moving the 6x to the left and the 3 to the right side and combining the x's then dividing?
I really appreciate any guidance!
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

2x^2 + 3 = 6x   --->

2x%5E2+-+6x+%2B+3 = 0.


Now use the quadratic formula. Do you know what is it? If not or if you are not sure, see the lessons in this site

    - Introduction into Quadratic Equations

    - PROOF of quadratic formula by completing the square

Then you have

x%5B1%2C2%5D = %286+%2B-+sqrt%286%5E2+-4%2A2%2A3%29%29%2F%282%2A2%29 = %286+%2B-+sqrt%2812%29%29%2F4 = %283+%2B-+sqrt%283%29%29%2F2.

Solved.