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x^2-168x-108=0
a = 1; b = -168; c = -108;
Δ = b2-4ac
Δ = -1682-4·1·(-108)
Δ = 28656
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{28656}=\sqrt{144*199}=\sqrt{144}*\sqrt{199}=12\sqrt{199}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-168)-12\sqrt{199}}{2*1}=\frac{168-12\sqrt{199}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-168)+12\sqrt{199}}{2*1}=\frac{168+12\sqrt{199}}{2} $
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