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8x^2+12x-245=0
a = 8; b = 12; c = -245;
Δ = b2-4ac
Δ = 122-4·8·(-245)
Δ = 7984
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{7984}=\sqrt{16*499}=\sqrt{16}*\sqrt{499}=4\sqrt{499}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-4\sqrt{499}}{2*8}=\frac{-12-4\sqrt{499}}{16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+4\sqrt{499}}{2*8}=\frac{-12+4\sqrt{499}}{16} $
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