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11.3x^2+5x-2=0
a = 11.3; b = 5; c = -2;
Δ = b2-4ac
Δ = 52-4·11.3·(-2)
Δ = 115.4
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{115.4}}{2*11.3}=\frac{-5-\sqrt{115.4}}{22.6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{115.4}}{2*11.3}=\frac{-5+\sqrt{115.4}}{22.6} $
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