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-8x^2+41x+5=0
a = -8; b = 41; c = +5;
Δ = b2-4ac
Δ = 412-4·(-8)·5
Δ = 1841
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(41)-\sqrt{1841}}{2*-8}=\frac{-41-\sqrt{1841}}{-16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(41)+\sqrt{1841}}{2*-8}=\frac{-41+\sqrt{1841}}{-16} $
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