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5x^2-15.2x-111=0
a = 5; b = -15.2; c = -111;
Δ = b2-4ac
Δ = -15.22-4·5·(-111)
Δ = 2451.04
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{-(-15.2)-\sqrt{2451.04}}{2*5}=\frac{15.2-\sqrt{2451.04}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15.2)+\sqrt{2451.04}}{2*5}=\frac{15.2+\sqrt{2451.04}}{10} $
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