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5a^2-18a+9=0
a = 5; b = -18; c = +9;
Δ = b2-4ac
Δ = -182-4·5·9
Δ = 144
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}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{144}=12$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-12}{2*5}=\frac{6}{10} =3/5 $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+12}{2*5}=\frac{30}{10} =3 $
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