Answer:
x + 4 - 3√2 and x + 4 + 3√2
Step-by-step explanation:
When other methods seem to difficult to apply, try using the quadratic formula:
Here a = 1/2, b = 4 and c = -1.
Then the "discriminant" is b^2 - 4ac, or
(4)^2 - 4(1/2)(-1), or 16 + 2 = 18
Then the roots are:
-4 ± √18, or -4 ± 3√2
and thus the factors are x + 4 - 3√2 and x + 4 + 3√2
x = ---------------------