y^2-3000y-587.4=0

Solution for y^2-3000y-587.4=0 equation:

y^2-3000y-587.4=0

a = 1; b = -3000; c = -587.4;
Δ = b2-4ac
Δ = -30002-4·1·(-587.4)
Δ = 9002349.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3000)-\sqrt{9002349.6}}{2*1}=\frac{3000-\sqrt{9002349.6}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3000)+\sqrt{9002349.6}}{2*1}=\frac{3000+\sqrt{9002349.6}}{2}
$