1.75n^2-31.75=105

Solution for 1.75n^2-31.75=105 equation:

1.75n^2-31.75=105

We move all terms to the left:

1.75n^2-31.75-(105)=0

We add all the numbers together, and all the variables

1.75n^2-136.75=0

a = 1.75; b = 0; c = -136.75;
Δ = b2-4ac
Δ = 02-4·1.75·(-136.75)
Δ = 957.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{957.25}}{2*1.75}=\frac{0-\sqrt{957.25}}{3.5}
=-\frac{\sqrt{}}{3.5}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{957.25}}{2*1.75}=\frac{0+\sqrt{957.25}}{3.5}
=\frac{\sqrt{}}{3.5}
$