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3x^2+5x-322=0
a = 3; b = 5; c = -322;
Δ = b2-4ac
Δ = 52-4·3·(-322)
Δ = 3889
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{-(5)-\sqrt{3889}}{2*3}=\frac{-5-\sqrt{3889}}{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{3889}}{2*3}=\frac{-5+\sqrt{3889}}{6} $
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