s(2)=6000-500(2)

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Solution for s(2)=6000-500(2) equation:



s(2)=6000-500(2)
We move all terms to the left:
s(2)-(6000-500(2))=0
We add all the numbers together, and all the variables
s2-998=0
We add all the numbers together, and all the variables
s^2-998=0
a = 1; b = 0; c = -998;
Δ = b2-4ac
Δ = 02-4·1·(-998)
Δ = 3992
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{3992}=\sqrt{4*998}=\sqrt{4}*\sqrt{998}=2\sqrt{998}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{998}}{2*1}=\frac{0-2\sqrt{998}}{2} =-\frac{2\sqrt{998}}{2} =-\sqrt{998} $
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{998}}{2*1}=\frac{0+2\sqrt{998}}{2} =\frac{2\sqrt{998}}{2} =\sqrt{998} $

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