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-8u^2+28u=0
a = -8; b = 28; c = 0;
Δ = b2-4ac
Δ = 282-4·(-8)·0
Δ = 784
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{784}=28$$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-28}{2*-8}=\frac{-56}{-16} =3+1/2 $$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+28}{2*-8}=\frac{0}{-16} =0 $
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