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8x^2+53x-26=0
a = 8; b = 53; c = -26;
Δ = b2-4ac
Δ = 532-4·8·(-26)
Δ = 3641
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{-(53)-\sqrt{3641}}{2*8}=\frac{-53-\sqrt{3641}}{16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(53)+\sqrt{3641}}{2*8}=\frac{-53+\sqrt{3641}}{16} $
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