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3x^2+17x+5=0
a = 3; b = 17; c = +5;
Δ = b2-4ac
Δ = 172-4·3·5
Δ = 229
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{-(17)-\sqrt{229}}{2*3}=\frac{-17-\sqrt{229}}{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{229}}{2*3}=\frac{-17+\sqrt{229}}{6} $
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