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8x^2+55x-71=0
a = 8; b = 55; c = -71;
Δ = b2-4ac
Δ = 552-4·8·(-71)
Δ = 5297
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{-(55)-\sqrt{5297}}{2*8}=\frac{-55-\sqrt{5297}}{16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(55)+\sqrt{5297}}{2*8}=\frac{-55+\sqrt{5297}}{16} $
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