n=(12-n)^((1)/(2))

Solution for n=(12-n)^((1)/(2)) equation:

n=(12-n)^((1)/(2))

We move all terms to the left:

n-((12-n)^((1)/(2)))=0

We add all the numbers together, and all the variables

n-((-1n+12)^(+1/2))=0

We multiply all the terms by the denominator


n*2))-((-1n+1+12)^(=0

We add all the numbers together, and all the variables

n*2))-((-1n+13)^(=0

We add all the numbers together, and all the variables

-1n+n*2))-((=0

Wy multiply elements

2n^2-1n=0

a = 2; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·2·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*2}=\frac{0}{4}
=0
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*2}=\frac{2}{4}
=1/2
$