SOLUTION: (2t-3)^2+13t=14 Solve for t

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: (2t-3)^2+13t=14 Solve for t      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 414121: (2t-3)^2+13t=14
Solve for t
Answer by ewatrrr(10682) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Solving for t

(2t-3)^2 + 13t = 14

4t^2 - 12t + 9 + 13t = 14

 4t^2 + t -5 = 0

factoring

(4t + 5)(t-1)= 0 Note: SUM of the inner product(5t) and the outer product(-4t) = t

(4t + 5)=0

    t = -5/4

(t-1)= 0

    t = 1