36n2=9

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Solution for 36n2=9 equation:



36n^2=9
We move all terms to the left:
36n^2-(9)=0
a = 36; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·36·(-9)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36}{2*36}=\frac{-36}{72} =-1/2 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36}{2*36}=\frac{36}{72} =1/2 $

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