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125=0.0034s^2+0.004s-0.3
We move all terms to the left:
125-(0.0034s^2+0.004s-0.3)=0
We get rid of parentheses
-0.0034s^2-0.004s+0.3+125=0
We add all the numbers together, and all the variables
-0.0034s^2-0.004s+125.3=0
a = -0.0034; b = -0.004; c = +125.3;
Δ = b2-4ac
Δ = -0.0042-4·(-0.0034)·125.3
Δ = 1.704096
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}$$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-0.004)-\sqrt{1.704096}}{2*-0.0034}=\frac{0.004-\sqrt{1.704096}}{-0.0068} $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.004)+\sqrt{1.704096}}{2*-0.0034}=\frac{0.004+\sqrt{1.704096}}{-0.0068} $
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