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x^2-15x+14.5=0
a = 1; b = -15; c = +14.5;
Δ = b2-4ac
Δ = -152-4·1·14.5
Δ = 167
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)-\sqrt{167}}{2*1}=\frac{15-\sqrt{167}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{167}}{2*1}=\frac{15+\sqrt{167}}{2} $
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