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555.55a^2+55.55a-7.2=0
a = 555.55; b = 55.55; c = -7.2;
Δ = b2-4ac
Δ = 55.552-4·555.55·(-7.2)
Δ = 19085.6425
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(55.55)-\sqrt{19085.6425}}{2*555.55}=\frac{-55.55-\sqrt{19085.6425}}{1111.1} $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(55.55)+\sqrt{19085.6425}}{2*555.55}=\frac{-55.55+\sqrt{19085.6425}}{1111.1} $
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