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2u^2-19u+24=0
a = 2; b = -19; c = +24;
Δ = b2-4ac
Δ = -192-4·2·24
Δ = 169
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{169}=13$$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-19)-13}{2*2}=\frac{6}{4} =1+1/2 $$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+13}{2*2}=\frac{32}{4} =8 $
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