Answer:
-7 ± i√127
x = -----------------
2
Explanation:
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x^2 + 7x + 44 has a parabolic graph that opens up and never intersects the x-axis. Thus, it has no real roots.
The coefficients of this polynomial are a = 1, b = 7, c = 44.
The discriminant is b^2 - 4ac, or 7^2 - 4(1)(44) = -127. As expected, this is negative, confirming that the roots are complex.
The roots are:
-7 ± i√127
x = -----------------
2