6n^2-5=595

Solution for 6n^2-5=595 equation:

6n^2-5=595

We move all terms to the left:

6n^2-5-(595)=0

We add all the numbers together, and all the variables

6n^2-600=0

a = 6; b = 0; c = -600;
Δ = b2-4ac
Δ = 02-4·6·(-600)
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*6}=\frac{-120}{12}
=-10
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*6}=\frac{120}{12}
=10
$