SOLUTION: Solve for T: {t-1}^2 = {2t^2-8t+6} ***I know that this can only have at most 2 answers because the degree of the polynomial is 2. I know that {t-1}^2 is {t-1}{t-1} and that

Question 213950: Solve for T:
{t-1}^2 = {2t^2-8t+6}

***I know that this can only have at most 2 answers because the degree of the polynomial is 2. I know that {t-1}^2 is {t-1}{t-1} and that 2t^2-8t+6 is simplified to 2{t^2-4t+3}. I have tried to simplify it more but keep getting stuck and I know that one of the answers for t=1, but I cant find the other! Any help would be appreciated!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

FOIL

Get every term to the left side.

Combine like terms.

Notice that the quadratic is in the form of where , , and

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

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Reduce.

So the solutions are or
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