150/n(2)=6

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Solution for 150/n(2)=6 equation:



150/n2=6
We move all terms to the left:
150/n2-(6)=0
Domain of the equation: n2!=0
n^2!=0/
n^2!=√0
n!=0
n∈R
We multiply all the terms by the denominator
-6*n2+150=0
We add all the numbers together, and all the variables
-6n^2+150=0
a = -6; b = 0; c = +150;
Δ = b2-4ac
Δ = 02-4·(-6)·150
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*-6}=\frac{-60}{-12} =+5 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*-6}=\frac{60}{-12} =-5 $

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