Answer:
B. The other solution to function [tex]h[/tex] is [tex]-4-i\,7[/tex].
Step-by-step explanation:
From Algebra, we remember that quadratic functions of the form [tex]a\cdot x^{2}+b\cdot x + c[/tex] has solutions of the form:
[tex]x = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex], where both are complex if and only if [tex]\sqrt{b^{2}-4\cdot a \cdot c}< 0[/tex].
Hence, if one solution of the quadratic function is [tex]-4+i\,7[/tex], then the other solution is [tex]-4-i\,7[/tex]. The correct answer is B.
