n2=49/256

Solution for n2=49/256 equation:

n2=49/256

We move all terms to the left:

n2-(49/256)=0

We add all the numbers together, and all the variables

n2-(+49/256)=0

We add all the numbers together, and all the variables

n^2-(+49/256)=0

We get rid of parentheses

n^2-49/256=0

We multiply all the terms by the denominator


n^2*256-49=0

Wy multiply elements

256n^2-49=0

a = 256; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·256·(-49)
Δ = 50176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{50176}=224$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-224}{2*256}=\frac{-224}{512}
=-7/16
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+224}{2*256}=\frac{224}{512}
=7/16
$