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-9z(z-9)=0
We multiply parentheses
-9z^2+81z=0
a = -9; b = 81; c = 0;
Δ = b2-4ac
Δ = 812-4·(-9)·0
Δ = 6561
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{6561}=81$$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(81)-81}{2*-9}=\frac{-162}{-18} =+9 $$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(81)+81}{2*-9}=\frac{0}{-18} =0 $
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