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8s^2+101s=-120
We move all terms to the left:
8s^2+101s-(-120)=0
We add all the numbers together, and all the variables
8s^2+101s+120=0
a = 8; b = 101; c = +120;
Δ = b2-4ac
Δ = 1012-4·8·120
Δ = 6361
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{-(101)-\sqrt{6361}}{2*8}=\frac{-101-\sqrt{6361}}{16} $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(101)+\sqrt{6361}}{2*8}=\frac{-101+\sqrt{6361}}{16} $
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