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6u^2-41u-7=0
a = 6; b = -41; c = -7;
Δ = b2-4ac
Δ = -412-4·6·(-7)
Δ = 1849
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{1849}=43$$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-41)-43}{2*6}=\frac{-2}{12} =-1/6 $$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-41)+43}{2*6}=\frac{84}{12} =7 $
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