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44s^2-7s-1=0
a = 44; b = -7; c = -1;
Δ = b2-4ac
Δ = -72-4·44·(-1)
Δ = 225
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{225}=15$$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-15}{2*44}=\frac{-8}{88} =-1/11 $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+15}{2*44}=\frac{22}{88} =1/4 $
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