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4n^2-576=0
a = 4; b = 0; c = -576;
Δ = b2-4ac
Δ = 02-4·4·(-576)
Δ = 9216
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{9216}=96$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96}{2*4}=\frac{-96}{8} =-12 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*4}=\frac{96}{8} =12 $
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