SOLUTION: Anyone, please help, I have test on Tuesday, dont have a clue about algebra need to pass this class for associate degree. I will have several problems. I do appreciate the time y

Algebra ->  Equations -> SOLUTION: Anyone, please help, I have test on Tuesday, dont have a clue about algebra need to pass this class for associate degree. I will have several problems. I do appreciate the time y      Log On


   

Question 265119: Anyone, please help, I have test on Tuesday, dont have a clue about algebra need to pass this class for associate degree. I will have several problems. I do appreciate the time you take to answer.

4t^2+9=12t
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4t%5E2%2B9=12t Start with the given equation.


4t%5E2-12t%2B9=0 Subtract 12t from both sides.


Notice that the quadratic 4t%5E2-12t%2B9 is in the form of At%5E2%2BBt%2BC where A=4, B=-12, and C=9


Let's use the quadratic formula to solve for "t":


t+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 Start with the quadratic formula


t+=+%28-%28-12%29+%2B-+sqrt%28+%28-12%29%5E2-4%284%29%289%29+%29%29%2F%282%284%29%29 Plug in A=4, B=-12, and C=9


t+=+%2812+%2B-+sqrt%28+%28-12%29%5E2-4%284%29%289%29+%29%29%2F%282%284%29%29 Negate -12 to get 12.


t+=+%2812+%2B-+sqrt%28+144-4%284%29%289%29+%29%29%2F%282%284%29%29 Square -12 to get 144.


t+=+%2812+%2B-+sqrt%28+144-144+%29%29%2F%282%284%29%29 Multiply 4%284%29%289%29 to get 144


t+=+%2812+%2B-+sqrt%28+0+%29%29%2F%282%284%29%29 Subtract 144 from 144 to get 0


t+=+%2812+%2B-+sqrt%28+0+%29%29%2F%288%29 Multiply 2 and 4 to get 8.


t+=+%2812+%2B-+0%29%2F%288%29 Take the square root of 0 to get 0.


t+=+%2812+%2B+0%29%2F%288%29 or t+=+%2812+-+0%29%2F%288%29 Break up the expression.


t+=+%2812%29%2F%288%29 or t+=++%2812%29%2F%288%29 Combine like terms.


t+=+3%2F2 or t+=+3%2F2 Simplify.


So the solution is t+=+3%2F2