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x^2-6.5x+1.0945=0
a = 1; b = -6.5; c = +1.0945;
Δ = b2-4ac
Δ = -6.52-4·1·1.0945
Δ = 37.872
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{-(-6.5)-\sqrt{37.872}}{2*1}=\frac{6.5-\sqrt{37.872}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6.5)+\sqrt{37.872}}{2*1}=\frac{6.5+\sqrt{37.872}}{2} $
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