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11x(x+11)=0
We multiply parentheses
11x^2+121x=0
a = 11; b = 121; c = 0;
Δ = b2-4ac
Δ = 1212-4·11·0
Δ = 14641
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{14641}=121$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(121)-121}{2*11}=\frac{-242}{22} =-11 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(121)+121}{2*11}=\frac{0}{22} =0 $
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