SOLUTION: Use the quadratic formula to solve the equation. Simpplify solutions, if possible. 2x^2 + 4x = 5

Algebra ->  Algebra  -> Radicals -> SOLUTION: Use the quadratic formula to solve the equation. Simpplify solutions, if possible. 2x^2 + 4x = 5      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 239452: Use the quadratic formula to solve the equation. Simpplify solutions, if possible.
2x^2 + 4x = 5

Answer by solver91311(12126) About Me  (Show Source):
You can put this solution on YOUR website!


Step 1: Put the equation into standard form, that is into



form.

Your equation becomes:



So, , , and

Then substitute the coefficients into the quadratic formula:





You can do your own arithmetic. To simplify the radical, perform the prime factorization of the radicand. Remove pairs of prime factors from the radicand and put one of each pair outside the radicand. Then reduce the fractions if possible. Remember, this is a quadratic equation, so there are always two roots.

John