10n^2-60-70=0

Solution for 10n^2-60-70=0 equation:

10n^2-60-70=0

We add all the numbers together, and all the variables

10n^2-130=0

a = 10; b = 0; c = -130;
Δ = b2-4ac
Δ = 02-4·10·(-130)
Δ = 5200
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:

$\sqrt{\Delta}=\sqrt{5200}=\sqrt{400*13}=\sqrt{400}*\sqrt{13}=20\sqrt{13}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{13}}{2*10}=\frac{0-20\sqrt{13}}{20}
=-\frac{20\sqrt{13}}{20}
=-\sqrt{13}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{13}}{2*10}=\frac{0+20\sqrt{13}}{20}
=\frac{20\sqrt{13}}{20}
=\sqrt{13}
$