Question

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

Answer 1

The answer is Answer:

16, -14

Answer 2

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