The roots of polynomial $ p(y) $ are:
$$ \begin{aligned}y_1 &= -14.5592\\[1 em]y_2 &= -22.3973 \end{aligned} $$The solutions of $ 46y^2+1700y+15000 = 0 $ are: $ y = -\dfrac{ 425 }{ 23 }-\dfrac{ 25 \sqrt{ 13}}{ 23 } ~ \text{and} ~ y = -\dfrac{ 425 }{ 23 }+\dfrac{ 25 \sqrt{ 13}}{ 23 }$.
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