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18z^2-43z=0
a = 18; b = -43; c = 0;
Δ = b2-4ac
Δ = -432-4·18·0
Δ = 1849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1849}=43$$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-43)-43}{2*18}=\frac{0}{36} =0 $$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-43)+43}{2*18}=\frac{86}{36} =2+7/18 $
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