Question

Using the quadratic formula, determine the solutions to the following equation:
x
2
−
10
x
+
29
=
0
(10 points)
x =
− 10 ± 4i√2
2
x = − 5 ± 4i
x =
− 10 ± i√36
2
x = 5 ± 2i

Answer 1

Use a = 1, b = −10, c = 29. Discriminant: b^2 − 4ac = 100 − 116 = −16.
x = [10 ± sqrt(−16)]/2 = [10 ± 4i]/2 = 5 ± 2i.

So the solutions are x = 5 ± 2i.