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5u^2-11u=0
a = 5; b = -11; c = 0;
Δ = b2-4ac
Δ = -112-4·5·0
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{121}=11$$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-11}{2*5}=\frac{0}{10} =0 $$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+11}{2*5}=\frac{22}{10} =2+1/5 $
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