Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

a2 − 2a − 224 = 0


8, –28


16, –14


–16, 14


–8, 28

For this case we have the following equation:
 a2 - 2a - 224 = 0
 Applying the resolver we have:
 A = (- b +/- root (b ^ 2 - 4 * a * c)) / (2 * a)
 Substituting values we have:
 A = (- (- 2) +/- root ((- 2) ^ 2 - 4 * 1 * (- 224))) / (2 * (1))
 Rewriting:
 A = (2 +/- root (4 + 896)) / (2)
 A = (2 +/- root (900)) / (2)
 A = (2 +/- 30) / (2)
 The roots are:
 A1 = (2 + 30) / (2)
 A2 = (2 - 30) / (2)
 Rewriting:
 A1 = 16
 A2 = -14
 Answer:
 16, -14