Expert: Lynn Houston - 3/19/2009

Question
31. Solve: x^2 - 2x - 5 = 0




32. Solve: p^2 + 20p + 200 = 0




33. Solve: x      x          2x^2
         ---  - ---- = 3 +  -----
        x - 1   x + 1       1 - x^2




34. Solve: 5x^2 - 45 = 0




35. Solve: 3y^2 - 48 = 0  

Answer
For all of these, you're going to use the quadratic formula

  (-b + - sqrt{b^2-4ac})/{2a} ,

where the symbol "±" indicates that both

   (-b - sqrt{b^2-4ac})/{2a} and (-b + sqrt{b^2-4ac})/{2a}

are solutions.

A quadratic eq takes the form of ax^2 + bx + c = 0.  All of the equations above are already in the right form, so just pull a, b and c from eq and plug them into the formula above.  If you want to give me your answers once you've solved them, I'll check them for you.