SOLUTION: Solve for t: (2t+1)squared = 1/4(4t-1)squared. I've gotten a few different answers depending on how I solved this one; most recently I got t= -.75/6

Algebra ->  Linear-equations -> SOLUTION: Solve for t: (2t+1)squared = 1/4(4t-1)squared. I've gotten a few different answers depending on how I solved this one; most recently I got t= -.75/6      Log On


   

Question 314493: Solve for t: (2t+1)squared = 1/4(4t-1)squared.
I've gotten a few different answers depending on how I solved this one; most recently I got t= -.75/6
Answer by eshomali(33) About Me  (Show Source):
You can put this solution on YOUR website!
Sorry your answer is wrong. Consider this:
(2t+1)Squared = (1/4)(4t-1)squared.
So by simplifying it, it would be:
4t Sqrd + 4t + 1 = t Sqrd - 2t +(1/4)
There are like terms, so subtract them on either side to make the equation equal Zero, so like this:
3t Sqrd + 6t + (3/4) = 0

Now you may use the quadratic formula ( the quadratic formula may be used only if you have a equation like this : A Sqrd + B + 1 = 0 ) note, the 1 is the C.
The formula goes like this: X=%28-B%2B-sqrt%28B%5E2-4%2AA%2AC%29%29%2F%282%2AA%29

By plugging it in, you should get the answer: -1%2B-sqrt%2827%29%2F6
You can simplify that to get a decimal if you want.