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0.35s(30-s)=2.9
We move all terms to the left:
0.35s(30-s)-(2.9)=0
We add all the numbers together, and all the variables
0.35s(-1s+30)-(2.9)=0
We add all the numbers together, and all the variables
0.35s(-1s+30)-2.9=0
We multiply parentheses
0s^2+0s-2.9=0
We add all the numbers together, and all the variables
s^2+s-2.9=0
a = 1; b = 1; c = -2.9;
Δ = b2-4ac
Δ = 12-4·1·(-2.9)
Δ = 12.6
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{-(1)-\sqrt{12.6}}{2*1}=\frac{-1-\sqrt{12.6}}{2} $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{12.6}}{2*1}=\frac{-1+\sqrt{12.6}}{2} $
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