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15n*n-54=0
Wy multiply elements
15n^2-54=0
a = 15; b = 0; c = -54;
Δ = b2-4ac
Δ = 02-4·15·(-54)
Δ = 3240
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}$$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{3240}=\sqrt{324*10}=\sqrt{324}*\sqrt{10}=18\sqrt{10}$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18\sqrt{10}}{2*15}=\frac{0-18\sqrt{10}}{30} =-\frac{18\sqrt{10}}{30} =-\frac{3\sqrt{10}}{5} $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18\sqrt{10}}{2*15}=\frac{0+18\sqrt{10}}{30} =\frac{18\sqrt{10}}{30} =\frac{3\sqrt{10}}{5} $
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