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11x^2+77x=0
a = 11; b = 77; c = 0;
Δ = b2-4ac
Δ = 772-4·11·0
Δ = 5929
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{5929}=77$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(77)-77}{2*11}=\frac{-154}{22} =-7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(77)+77}{2*11}=\frac{0}{22} =0 $
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