-1-6n^2=-1735

Solution for -1-6n^2=-1735 equation:

-1-6n^2=-1735

We move all terms to the left:

-1-6n^2-(-1735)=0

We add all the numbers together, and all the variables

-6n^2+1734=0

a = -6; b = 0; c = +1734;
Δ = b2-4ac
Δ = 02-4·(-6)·1734
Δ = 41616
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{41616}=204$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-204}{2*-6}=\frac{-204}{-12}
=+17
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+204}{2*-6}=\frac{204}{-12}
=-17
$