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8x^2-13x-12=0
a = 8; b = -13; c = -12;
Δ = b2-4ac
Δ = -132-4·8·(-12)
Δ = 553
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{-(-13)-\sqrt{553}}{2*8}=\frac{13-\sqrt{553}}{16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+\sqrt{553}}{2*8}=\frac{13+\sqrt{553}}{16} $
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