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18x^2+57x+35=0
a = 18; b = 57; c = +35;
Δ = b2-4ac
Δ = 572-4·18·35
Δ = 729
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{729}=27$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(57)-27}{2*18}=\frac{-84}{36} =-2+1/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(57)+27}{2*18}=\frac{-30}{36} =-5/6 $
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