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s2-6s-135=0
We add all the numbers together, and all the variables
s^2-6s-135=0
a = 1; b = -6; c = -135;
Δ = b2-4ac
Δ = -62-4·1·(-135)
Δ = 576
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}$$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{576}=24$$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-24}{2*1}=\frac{-18}{2} =-9 $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+24}{2*1}=\frac{30}{2} =15 $
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