-9-2n2=-35

Solution for -9-2n2=-35 equation:

-9-2n^2=-35

We move all terms to the left:

-9-2n^2-(-35)=0

We add all the numbers together, and all the variables

-2n^2+26=0

a = -2; b = 0; c = +26;
Δ = b2-4ac
Δ = 02-4·(-2)·26
Δ = 208
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{208}=\sqrt{16*13}=\sqrt{16}*\sqrt{13}=4\sqrt{13}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{13}}{2*-2}=\frac{0-4\sqrt{13}}{-4}
=-\frac{4\sqrt{13}}{-4}
=-\frac{\sqrt{13}}{-1}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{13}}{2*-2}=\frac{0+4\sqrt{13}}{-4}
=\frac{4\sqrt{13}}{-4}
=\frac{\sqrt{13}}{-1}
$