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-00844+1.8312X+0.9156X^2=0
We add all the numbers together, and all the variables
0.9156X^2+1.8312X-844=0
a = 0.9156; b = 1.8312; c = -844;
Δ = b2-4ac
Δ = 1.83122-4·0.9156·(-844)
Δ = 3094.41889344
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1.8312)-\sqrt{3094.41889344}}{2*0.9156}=\frac{-1.8312-\sqrt{3094.41889344}}{1.8312} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.8312)+\sqrt{3094.41889344}}{2*0.9156}=\frac{-1.8312+\sqrt{3094.41889344}}{1.8312} $
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