SOLUTION: Solve. t^2+3=6t I am so confused on how to do this problem! please help!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve. t^2+3=6t I am so confused on how to do this problem! please help!      Log On


   

Question 665571: Solve. t^2+3=6t I am so confused on how to do this problem! please help!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Solve. 

t^2+3=6t

 t^2 - 6t + 3 = 0   |||Standard Form:   at^2 + bt + c = 0

Using the Quadratic Equation to Solve

t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

t+=+%286+%2B-+sqrt%28+24+%29%29%2F%282%29+

t+=+%286+%2B-+sqrt%28+4%2A6+%29%29%2F%282%29+

t+=+%286+%2B-+2sqrt%28+6+%29%29%2F%282%29+

t+=+3+%2B-+sqrt%28+6+%29+



Checking by completing the Square:

( t^2 - 6t + 9) - 9+ 3 = 0

  (t-3)^2 - 6 = 0

     (t-3)^2 = 6

      t-3 = ±sqrt%286%29

        t = 3 ±sqrt%286%29