本题目来源于试卷: Polynomials，类别为 IB数学
[问答题]
Consider the equation 7mg ys z57b lml l:tzsp1si g.9(jmil7yne;47r+)mo t..u0j pzcsa smvo(.,n. vvod+ $2 z^{4}+a z^{3}+b z^{2}+c z+d=0 $, where $a, b, c, d \in \mathbb{R}$ and $z \in \mathbb{C}$ . Two of the roots of the equation are $\log _{2}$ 10 and $\mathrm{i} \sqrt{5}$ and the sum of all the roots is $4+\log _{2} 5$ .
Show that 15 a+d+90=0 .
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