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x^2+5.5x-31.5=0
a = 1; b = 5.5; c = -31.5;
Δ = b2-4ac
Δ = 5.52-4·1·(-31.5)
Δ = 156.25
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{-(5.5)-\sqrt{156.25}}{2*1}=\frac{-5.5-\sqrt{156.25}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5.5)+\sqrt{156.25}}{2*1}=\frac{-5.5+\sqrt{156.25}}{2} $
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