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13n^2-117=0
a = 13; b = 0; c = -117;
Δ = b2-4ac
Δ = 02-4·13·(-117)
Δ = 6084
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{6084}=78$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-78}{2*13}=\frac{-78}{26} =-3 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+78}{2*13}=\frac{78}{26} =3 $
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