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x^2+4.5x-2.5=0
a = 1; b = 4.5; c = -2.5;
Δ = b2-4ac
Δ = 4.52-4·1·(-2.5)
Δ = 30.25
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{-(4.5)-\sqrt{30.25}}{2*1}=\frac{-4.5-\sqrt{30.25}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4.5)+\sqrt{30.25}}{2*1}=\frac{-4.5+\sqrt{30.25}}{2} $
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