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11z^2+30z=0
a = 11; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·11·0
Δ = 900
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{900}=30$$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*11}=\frac{-60}{22} =-2+8/11 $$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*11}=\frac{0}{22} =0 $
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